ecuacion cuadratica 3

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Ricardo Monge

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Ricardo Monge 7 years, 5 months ago

Created this as a copy of Solving quadratic equations 1(c).

Name	Status	Author	Last Modified
Solving quadratic equations 1(a)	Ready to use	Frank Doheny	24/11/2017 07:43
Solving quadratic equations 1(c)	Ready to use	Frank Doheny	24/11/2017 07:51
Solving quadratic equations 1(b)	Ready to use	Frank Doheny	24/11/2017 07:36
Solving quadratic equations	draft	Nigel Atkins	02/03/2017 08:53
David's copy of Solving quadratic equations	draft	David Wishart	06/04/2017 18:38
Andrew's copy of Solving quadratic equations 1(b)	draft	Andrew Dunbar	30/06/2017 22:04
ecuacion cuadratica 1	draft	Ricardo Monge	04/10/2017 14:18
ecuacion cuadratica 2	draft	Ricardo Monge	04/10/2017 14:17
ecuacion cuadratica 3	draft	Ricardo Monge	04/10/2017 14:19
Maria's copy of Solving quadratic equations 1(b)	draft	Maria Aneiros	29/05/2019 07:18
Ugur's copy of Solving quadratic equations 1(a)	Ready to use	Ugur Efem	04/11/2021 15:33

There are 7 other versions that do you not have access to.

Question statement

La siguiente ecuación puede ser convertida a una ecuación cuadrática. Encuentre los valores de $x$ que satisfacen esta ecuación.

$\var{a1}x+\dfrac{\simplify{{a1}*{b1}*{c1}}}{x}=\simplify{{a1}*({b1}+{c1})}$

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	4
b1	integer	18
c1	integer	2
b	integer	80
c	integer	144

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Ingrese el mayor de los valores que satisfacen la ecuación.

$x =$ Gap 0.

Ingrese el menor de los valores que satisfacen la ecuación.

$x =$ Gap 1.

Advice

$\var{a1}x+\dfrac{\simplify{{a1}*{b1}*{c1}}}{x}=\simplify{{a1}*({b1}+{c1})}$

Multiplicando cada término de la ecuación por $x$ obtenemos

$\var{a1}x^2+\simplify{{a1}*{b1}*{c1}}=\simplify{{a1}*({b1}+{c1})}x$

Llevamos todos los términos al lado izquierdo y los ordenamos de acuerdo a las potencias de $x$ para obtener

$\var{a1}x^2-\simplify{{a1}*({b1}+{c1})}x+\simplify{{a1}*{b1}*{c1}}=0$

La fórmula para resolver una ecuación cuadrática de la forma $ax^2+bx+c=0$ está dada por

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

En este ejemplo, $a=\var{a1},\,\,\,b=\simplify{+-{a1}*({b1}+{c1})}$ y $c=\simplify{{a1}*{b1}*{c1}}$

$x=\dfrac{\var{b}\pm \sqrt{(-\var{b})^2-4*\var{a1}*\var{c}}}{2*\var{a1}}$

$x=\dfrac{\var{b}\pm \sqrt{\simplify{{b}^2-4*{a1}*{c}}}}{\simplify{2*{a1}}}$

$x=\simplify{{b}+({b}^2-4*{a1}*{c})^0.5}/\simplify{2*{a1}}=\simplify{({b}+({b}^2-4*{a1}*{c})^0.5)/(2*{a1})}$ o bien $x=\simplify{{b}-({b}^2-4*{a1}*{c})^0.5}/\simplify{2*{a1}}=\simplify{({b}-({b}^2-4*{a1}*{c})^0.5)/(2*{a1})}$

Give a worked solution to the whole question.

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Ecuaciones by Ricardo Monge in Ricardo's workspace.
FOUNDATION MATHEMATICS PRACTICE by Francis Duah in Francis's workspace.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Ricardo Monge 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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ecuacion cuadratica 3

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Ricardo Monge 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`