// Numbas version: exam_results_page_options {"name": "Ecuaciones", "navigation": {"preventleave": true, "showfrontpage": true, "browse": true, "onleave": {"action": "warnifunattempted", "message": "

Aún no contestas esta pregunta. ¿Seguro que deseas pasar a otra?

"}, "reverse": true, "allowregen": false, "showresultspage": "oncompletion"}, "timing": {"allowPause": false, "timedwarning": {"action": "warn", "message": "

Vamos! quedan sólo 5 minutos.

"}, "timeout": {"action": "warn", "message": "

Tiempo Acabado!!

"}}, "showQuestionGroupNames": false, "question_groups": [{"pickingStrategy": "all-ordered", "name": "Group", "pickQuestions": 1, "questions": [{"name": "eq1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "tags": [], "variable_groups": [], "preamble": {"js": "", "css": ""}, "variables": {"a": {"definition": "random(-5..5 except 0)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "a"}, "b": {"definition": "random(-5..5)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "b"}, "c": {"definition": "random(1..4 except [1,a])", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "c"}, "d": {"definition": "random(-5..5)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "d"}}, "functions": {}, "advice": "", "parts": [{"checkvariablenames": false, "scripts": {}, "type": "jme", "vsetrange": [0, 1], "expectedvariablenames": [], "showFeedbackIcon": true, "showpreview": true, "variableReplacements": [], "vsetrangepoints": 5, "checkingaccuracy": 0.001, "marks": 1, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "prompt": "

Resolver la siguiente ecuación

\n

\\[ \\simplify{{a}x+{b}}=\\simplify{{c}x+{d}}\\]

", "answer": "{{d}-{b}}/{{a}-{c}}", "answersimplification": "collectNumbers"}], "statement": "", "metadata": {"licence": "None specified", "description": ""}, "ungrouped_variables": ["a", "b", "c", "d"], "rulesets": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question"}, {"name": "eq2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "tags": [], "variables": {"b": {"name": "b", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-5..5)"}, "d": {"name": "d", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-5..5)"}, "c": {"name": "c", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-5..5 except 0)"}, "f": {"name": "f", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-5..5)"}, "a": {"name": "a", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(-5..5 except[0,c*f])"}}, "parts": [{"vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "checkvariablenames": false, "scripts": {}, "checkingtype": "absdiff", "showCorrectAnswer": true, "answersimplification": "collectNumbers", "answer": "({d}{f}-{b})/({a}-{c}{f})", "showpreview": true, "prompt": "

Resolver la siguiente ecuación

\n

\\[  \\frac{\\simplify{{a}x+{b}}}{\\simplify{{c}x+{d}}}=\\var{f} \\]

", "type": "jme", "expectedvariablenames": [], "variableReplacements": [], "checkingaccuracy": 0.001, "marks": 1, "showFeedbackIcon": true, "vsetrange": [0, 1]}], "rulesets": {}, "functions": {}, "metadata": {"licence": "None specified", "description": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"css": "", "js": ""}, "variable_groups": [], "advice": "", "statement": "", "ungrouped_variables": ["b", "c", "d", "f", "a"], "type": "question"}, {"name": "eq3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "rulesets": {}, "variable_groups": [], "functions": {}, "advice": "", "preamble": {"css": "", "js": ""}, "statement": "", "ungrouped_variables": ["a"], "metadata": {"description": "", "licence": "None specified"}, "variables": {"a": {"name": "a", "templateType": "anything", "description": "", "group": "Ungrouped variables", "definition": "random (-10..10 except 0)"}}, "parts": [{"scripts": {}, "type": "gapfill", "prompt": "

Las raíces de la siguiente ecuación cuadrática

\n

\\[ \\simplify{x^2-{a^2}}=0  \\]

\n

son:

\n

[[0]] (raíz menor)

\n

y

\n

[[1]] (raíz mayor)

\n

(Recuerde escribir primero la menor raíz y luego la mayor. Si la ecuación tiene sólo una raíz, anótela dos veces)

\n

\n

", "variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "gaps": [{"checkvariablenames": false, "variableReplacements": [], "checkingaccuracy": 0.001, "showCorrectAnswer": true, "showpreview": true, "vsetrange": [0, 1], "marks": 1, "vsetrangepoints": 5, "scripts": {}, "type": "jme", "answer": "min([{a},{-a}])", "checkingtype": "absdiff", "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true}, {"checkvariablenames": false, "variableReplacements": [], "checkingaccuracy": 0.001, "showCorrectAnswer": true, "showpreview": true, "vsetrange": [0, 1], "marks": 1, "vsetrangepoints": 5, "scripts": {}, "type": "jme", "answer": "max([{a},{-a}])", "checkingtype": "absdiff", "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true}], "marks": 0, "showFeedbackIcon": true}], "type": "question"}, {"name": "eq4", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "variables": {"a": {"definition": "random(-10..10 except 0)", "group": "Ungrouped variables", "templateType": "anything", "name": "a", "description": ""}}, "parts": [{"scripts": {}, "variableReplacementStrategy": "originalfirst", "gaps": [{"checkingaccuracy": 0.001, "checkvariablenames": false, "answer": "{-a}", "variableReplacements": [], "type": "jme", "showFeedbackIcon": true, "vsetrange": [0, 1], "marks": 1, "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "expectedvariablenames": [], "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true}, {"checkingaccuracy": 0.001, "checkvariablenames": false, "answer": "{-a}", "variableReplacements": [], "type": "jme", "showFeedbackIcon": true, "vsetrange": [0, 1], "marks": 1, "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "expectedvariablenames": [], "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true}], "variableReplacements": [], "type": "gapfill", "showFeedbackIcon": true, "prompt": "

Las raíces de la siguiente ecuación cuadrática 

\n

\\[\\simplify{x^2+2{a}x+{a^2}}=0\\]

\n

\n

son:

\n

[[0]] (raíz menor)

\n

y

\n

[[1]] (raíz mayor)

\n

(Recuerde anotar primero la menor raíz y luego la mayor. Si la ecuación tiene sólo una solución, anótela dos veces)

\n

", "marks": 0, "showCorrectAnswer": true}], "rulesets": {}, "ungrouped_variables": ["a"], "metadata": {"description": "", "licence": "None specified"}, "advice": "", "functions": {}, "statement": "", "variable_groups": [], "preamble": {"js": "", "css": ""}, "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question"}, {"name": "eq5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "parts": [{"marks": 0, "type": "gapfill", "prompt": "

Las raíces de la siguiente ecuación 

\n

\\[ \\simplify{4x^2-{4a}x}=\\simplify{-{a^2}}\\]

\n

son:

\n

\n

[[0]] (raíz menor)

\n

y

\n

[[1]] (raíz mayor)

", "gaps": [{"marks": 1, "type": "jme", "checkingtype": "absdiff", "showFeedbackIcon": true, "checkvariablenames": false, "answer": "{a}/2", "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "checkingaccuracy": 0.001, "showpreview": true, "vsetrange": [0, 1], "variableReplacements": [], "expectedvariablenames": [], "scripts": {}, "showCorrectAnswer": true}, {"marks": 1, "type": "jme", "checkingtype": "absdiff", "showFeedbackIcon": true, "checkvariablenames": false, "answer": "{a}/2", "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "checkingaccuracy": 0.001, "showpreview": true, "vsetrange": [0, 1], "variableReplacements": [], "expectedvariablenames": [], "scripts": {}, "showCorrectAnswer": true}], "variableReplacements": [], "showFeedbackIcon": true, "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}], "ungrouped_variables": ["a"], "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}, "variables": {"a": {"templateType": "anything", "name": "a", "definition": "random(-10..10 except 0)", "group": "Ungrouped variables", "description": ""}}, "statement": "", "variable_groups": [], "preamble": {"js": "", "css": ""}, "advice": "", "tags": [], "rulesets": {}, "metadata": {"description": "", "licence": "None specified"}, "type": "question"}, {"name": "eq6", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["a", "b"], "metadata": {"description": "", "licence": "None specified"}, "tags": [], "advice": "", "parts": [{"showCorrectAnswer": true, "prompt": "

Las raíces de la siguiente ecuación cuadrática 

\n

\\[ \\simplify{x^2+({a}+{b})x+{a}{b}}=0\\]

\n

son:

\n

\n

[[0]] (raíz menor)

\n

\n

[[1]] (raíz mayor)

", "scripts": {}, "showFeedbackIcon": true, "marks": 0, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "gaps": [{"showCorrectAnswer": true, "expectedvariablenames": [], "answer": "min({-a}, {-b})", "vsetrangepoints": 5, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "variableReplacements": [], "checkingtype": "absdiff", "vsetrange": [0, 1], "showFeedbackIcon": true, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "type": "jme", "showpreview": true}, {"showCorrectAnswer": true, "expectedvariablenames": [], "answer": "max({-a}, {-b})", "vsetrangepoints": 5, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "variableReplacements": [], "checkingtype": "absdiff", "vsetrange": [0, 1], "showFeedbackIcon": true, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "type": "jme", "showpreview": true}], "variableReplacements": []}], "variable_groups": [], "variables": {"b": {"group": "Ungrouped variables", "description": "", "name": "b", "templateType": "anything", "definition": "random(-10..10)"}, "a": {"group": "Ungrouped variables", "description": "", "name": "a", "templateType": "anything", "definition": "random(-10..10)"}}, "statement": "", "preamble": {"css": "", "js": ""}, "rulesets": {}, "type": "question"}, {"name": "eq7", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "preamble": {"js": "", "css": ""}, "ungrouped_variables": ["a", "b", "c"], "statement": "", "variable_groups": [], "functions": {}, "parts": [{"gaps": [{"scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "variableReplacements": [], "showCorrectAnswer": true, "checkvariablenames": false, "showFeedbackIcon": true, "vsetrange": [0, 1], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "type": "jme", "vsetrangepoints": 5, "showpreview": true, "expectedvariablenames": [], "answer": "min({-a},{-b})"}, {"scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "variableReplacements": [], "showCorrectAnswer": true, "checkvariablenames": false, "showFeedbackIcon": true, "vsetrange": [0, 1], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "type": "jme", "vsetrangepoints": 5, "showpreview": true, "expectedvariablenames": [], "answer": "max({-a},{-b})"}], "scripts": {}, "variableReplacementStrategy": "originalfirst", "marks": 0, "type": "gapfill", "variableReplacements": [], "prompt": "

Las raíces de la siguiente ecuación 

\n

\\[ \\simplify{{c}x^2+({c}({a}+{b}))x}=\\simplify{{-c}{a}{b}} \\]

\n

\n

[[0]] (raíz menor)

\n

\n

[[1]] (raíz menor)

", "showCorrectAnswer": true, "showFeedbackIcon": true}], "advice": "", "variables": {"a": {"definition": "random(-10..10)", "group": "Ungrouped variables", "templateType": "anything", "name": "a", "description": ""}, "c": {"definition": "random(-5..5 except[0,1,-1])", "group": "Ungrouped variables", "templateType": "anything", "name": "c", "description": ""}, "b": {"definition": "random(-10..10)", "group": "Ungrouped variables", "templateType": "anything", "name": "b", "description": ""}}, "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "metadata": {"licence": "None specified", "description": ""}, "type": "question"}, {"name": "eq8", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "metadata": {"description": "", "licence": "None specified"}, "rulesets": {}, "statement": "", "preamble": {"js": "", "css": ""}, "functions": {}, "parts": [{"vsetrangepoints": 5, "vsetrange": [0, 1], "checkingaccuracy": 0.001, "marks": 1, "showpreview": true, "expectedvariablenames": [], "type": "jme", "scripts": {}, "variableReplacements": [], "answer": "{{2f}-{c}}/{{b}+{2c}}", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "answersimplification": "collectNumbers", "checkvariablenames": false, "checkingtype": "absdiff", "prompt": "

Resolver la siguiente ecuación exponencial

\n

\\[ \\simplify{{a}^({b}x+{c})}=\\simplify{{a^2}^({d}x+{f})} \\]

", "showCorrectAnswer": true}], "ungrouped_variables": ["a", "c", "d", "f", "b"], "advice": "", "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "variables": {"b": {"templateType": "anything", "name": "b", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3 except[0, -2d])"}, "d": {"templateType": "anything", "name": "d", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3)"}, "f": {"templateType": "anything", "name": "f", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3)"}, "a": {"templateType": "anything", "name": "a", "description": "", "group": "Ungrouped variables", "definition": "random(2..5)"}, "c": {"templateType": "anything", "name": "c", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3)"}}, "type": "question"}, {"name": "eq9", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "preamble": {"js": "", "css": ""}, "ungrouped_variables": ["a", "b", "c", "d", "f"], "statement": "", "variable_groups": [], "functions": {}, "parts": [{"scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "variableReplacements": [], "answersimplification": "collectNumbers", "prompt": "

Resolver la siguiente ecuación

\n

\\[ \\simplify{{a^2}^({b}x+{c})}=\\simplify{{a^3}^({d}x+{f})} \\]

\n

", "checkvariablenames": false, "showFeedbackIcon": true, "showCorrectAnswer": true, "vsetrange": [0, 1], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "type": "jme", "vsetrangepoints": 5, "showpreview": true, "expectedvariablenames": [], "answer": "{{3f-2c}}/{{2b-3d}}"}], "advice": "", "variables": {"a": {"definition": "random(2..5)", "group": "Ungrouped variables", "templateType": "anything", "name": "a", "description": ""}, "d": {"definition": "random(-3..3 except(2/3)b)", "group": "Ungrouped variables", "templateType": "anything", "name": "d", "description": ""}, "f": {"definition": "random(-5..5)", "group": "Ungrouped variables", "templateType": "anything", "name": "f", "description": ""}, "b": {"definition": "random(-3..3 except 0)", "group": "Ungrouped variables", "templateType": "anything", "name": "b", "description": ""}, "c": {"definition": "random(-5..5)", "group": "Ungrouped variables", "templateType": "anything", "name": "c", "description": ""}}, "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "metadata": {"licence": "None specified", "description": ""}, "type": "question"}, {"name": "eq10", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "statement": "", "tags": [], "parts": [{"marks": 0, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showFeedbackIcon": true, "variableReplacements": [], "scripts": {}, "prompt": "

Resolver la siguiente ecuación exponencial

\n

\\[\\simplify{{c}^(x^2+{2a}x+{a}{b})-{c}^(-x^2-{2b}x-{a}{b})=0}\\]

\n

\n

\n

[[0]]  (raíz menor)

\n

y

\n

[[1]] (raíz mayor)

", "gaps": [{"checkingtype": "absdiff", "marks": 1, "showpreview": true, "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "variableReplacements": [], "checkingaccuracy": 0.001, "vsetrangepoints": 5, "answer": "min({-a},{-b})", "showCorrectAnswer": true, "expectedvariablenames": [], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "scripts": {}}, {"checkingtype": "absdiff", "marks": 1, "showpreview": true, "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "variableReplacements": [], "checkingaccuracy": 0.001, "vsetrangepoints": 5, "answer": "max({-a},{-b})", "showCorrectAnswer": true, "expectedvariablenames": [], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "scripts": {}}]}], "preamble": {"css": "", "js": ""}, "advice": "", "variable_groups": [], "functions": {}, "variables": {"c": {"name": "c", "description": "", "definition": "random(2..7)", "group": "Ungrouped variables", "templateType": "anything"}, "a": {"name": "a", "description": "", "definition": "random(-10..10)", "group": "Ungrouped variables", "templateType": "anything"}, "b": {"name": "b", "description": "", "definition": "random(-10..10)", "group": "Ungrouped variables", "templateType": "anything"}}, "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["c", "a", "b"], "metadata": {"description": "", "licence": "None specified"}, "type": "question"}, {"name": "eq11", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "rulesets": {}, "tags": [], "variable_groups": [], "parts": [{"gaps": [{"scripts": {}, "checkingaccuracy": 0.001, "vsetrange": [0, 1], "expectedvariablenames": [], "checkingtype": "absdiff", "showpreview": true, "vsetrangepoints": 5, "type": "jme", "variableReplacements": [], "checkvariablenames": false, "marks": 1, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "answer": "({d}-{b})/({a}-{c})"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "prompt": "

Resolver la siguiente ecuación logarítmica

\n

\n

\\[\\simplify{ log({a}x+{b}) }=\\simplify{ log({c}x+{d})}\\]

\n

\n

x=[[0]]

", "showFeedbackIcon": true, "variableReplacements": []}], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"js": "", "css": ""}, "variables": {"a": {"definition": "random(1..5)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "a"}, "b": {"definition": "random(1..5)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "b"}, "c": {"definition": "random(1..5 except a)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "c"}, "d": {"definition": "random(1..5)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "d"}}, "functions": {}, "advice": "", "statement": "", "ungrouped_variables": ["a", "b", "c", "d"], "metadata": {"licence": "None specified", "description": ""}, "type": "question"}, {"name": "eq12", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "rulesets": {}, "tags": [], "variable_groups": [], "parts": [{"showFeedbackIcon": true, "checkingaccuracy": 0.001, "vsetrange": [0, 1], "expectedvariablenames": [], "checkingtype": "absdiff", "showpreview": true, "vsetrangepoints": 5, "type": "jme", "variableReplacements": [], "checkvariablenames": false, "marks": 1, "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "prompt": "

Resolver la siguiente ecuación logarítmica

\n

\\[\\simplify{log(({a}x+{b})/({c}x+{d}))=0}\\]

\n

\n

", "answer": "({d}-{b})/({a}-{c})", "answersimplification": "collectNumbers"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"js": "", "css": ""}, "variables": {"a": {"definition": "random(1..10)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "a"}, "b": {"definition": "random(1..10)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "b"}, "c": {"definition": "random(1..10 except a)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "c"}, "d": {"definition": "random(1..10)", "group": "Ungrouped variables", "templateType": "anything", "description": "", "name": "d"}}, "functions": {}, "advice": "", "statement": "

\n

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Resolver la siguiente ecuación logarítmica

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\\[\\simplify{log(x^2+({a}+{b})x)}=\\simplify{log(-{a}{b})}\\]

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[[0]] (raíz menor)

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[[1]] (raíz mayor)

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Test de ecuaciones: Lineales, cuadráticas, exponenciales y logarítmicas.

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Este test evalúa la resolución de ecuaciones: lineales, cuadráticas, exponenciales y logarítmicas.

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Algunas ecuaciones pueden tener más de una solución, en tal caso, usted deberá señalar ambas. Primero la menor de las soluciones y luego la mayor. En caso, que una ecuación cuadrática tenga una solución repetida (o sólo una solución) ustede deberá anotarla como respuesta dos veces.

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