// Numbas version: exam_results_page_options
{"name": "ecuacion cuadratica 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Solving quadratic equations using a formula,</p>"}, "functions": {}, "variables": {"b1": {"definition": "random(16..25#1)", "description": "", "name": "b1", "templateType": "randrange", "group": "Ungrouped variables"}, "a1": {"definition": "random(1..6#1)", "description": "", "name": "a1", "templateType": "randrange", "group": "Ungrouped variables"}, "c1": {"definition": "random(1..10#1)", "description": "", "name": "c1", "templateType": "randrange", "group": "Ungrouped variables"}}, "variable_groups": [], "rulesets": {}, "name": "ecuacion cuadratica 2", "advice": "<p>La f&oacute;rmula para resolver una ecuaci&oacute;n cuadr&aacute;tica de la forma&nbsp; \\(ax^2+bx+c=0\\)&nbsp; est&aacute; dada por</p>\n<p>\\(x=\\dfrac{-b\\pm \\sqrt{b^2-4ac}}{2a}\\)</p>\n<p>En este ejemplo,&nbsp; \\(a=\\var{a1},\\,\\,\\,b=\\var{b1}\\)&nbsp; y&nbsp;&nbsp;\\(c=\\var{c1}\\)</p>\n<p style=\"padding-left: 60px;\">\\(x=\\dfrac{-\\var{b1}\\pm \\sqrt{\\var{b1}^2-4\\times\\var{a1}\\times\\var{c1}}}{2\\times\\var{a1}}\\)</p>\n<p style=\"padding-left: 60px;\">\\(x=\\dfrac{-\\var{b1}\\pm \\sqrt{\\simplify{{b1}^2-4*{a1}*{c1}}}}{\\simplify{2*{a1}}}\\)</p>\n<p style=\"padding-left: 60px;\">\\(x=\\simplify{(-{b1}+ ({b1}^2-4*{a1}*{c1})^0.5)/(2*{a1})}\\) &nbsp; o bien &nbsp; \\(x=\\simplify{(-{b1}- ({b1}^2-4*{a1}*{c1})^0.5)/(2*{a1})}\\)</p>", "variablesTest": {"maxRuns": "1", "condition": "b1^2>4*a1*c1"}, "statement": "<p>Existen dos valores que satisfacen la ecuaci&oacute;n cuadr&aacute;tica:</p>\n<p style=\"padding-left: 30px;\">\\(\\var{a1}x^2+\\var{b1}x+\\var{c1}=0\\)</p>", "tags": [], "ungrouped_variables": ["a1", "b1", "c1"], "parts": [{"prompt": "<p>Ingrese el mayor de los valores que satisfacen la ecuaci&oacute;n cuadr&aacute;tica. Ingrese su respuesta con tres decimales.</p>\n<p style=\"text-align: left; padding-left: 30px;\">\\(x\\) =&nbsp;[[0]]</p>\n<p>Ingrese el menor de los valores que satisfacen la ecuaci&oacute;n cuadr&aacute;tica. Ingrese su respuesta con tres decimales.</p>\n<p style=\"padding-left: 30px;\">\\(x\\) =&nbsp;[[1]]</p>", "showFeedbackIcon": true, "gaps": [{"type": "numberentry", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "precisionMessage": "You have not given your answer to the correct precision.", "correctAnswerFraction": false, "minValue": "-{b1}/(2*{a1})+sqrt({b1}^2-4*{a1}*{c1})/(2*{a1})", "showCorrectAnswer": true, "maxValue": "-{b1}/(2*{a1})+sqrt({b1}^2-4*{a1}*{c1})/(2*{a1})", "showPrecisionHint": false, "variableReplacements": [], "precision": "3", "correctAnswerStyle": "plain", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "strictPrecision": false, "marks": 1, "precisionPartialCredit": 0, "allowFractions": false, "scripts": {}, "precisionType": "dp"}, {"type": "numberentry", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "precisionMessage": "You have not given your answer to the correct precision.", "correctAnswerFraction": false, "minValue": "-{b1}/(2*{a1})-sqrt({b1}^2-4*{a1}*{c1})/(2*{a1})", "showCorrectAnswer": true, "maxValue": "-{b1}/(2*{a1})-sqrt({b1}^2-4*{a1}*{c1})/(2*{a1})", "showPrecisionHint": false, "variableReplacements": [], "precision": "3", "correctAnswerStyle": "plain", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "strictPrecision": false, "marks": 1, "precisionPartialCredit": 0, "allowFractions": false, "scripts": {}, "precisionType": "dp"}], "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showCorrectAnswer": true, "marks": 0, "scripts": {}, "variableReplacements": []}], "extensions": [], "preamble": {"js": "", "css": ""}, "type": "question", "contributors": [{"name": "Ricardo Monge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/471/"}]}]}], "contributors": [{"name": "Ricardo Monge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/471/"}]}