Solving quadratic equations 1(b)

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Frank Doheny

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Frank Doheny

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7 years, 3 months ago

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Frank Doheny 7 years, 3 months ago

Gave some feedback: Ready to use

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Frank Doheny 8 years, 4 months ago

Published this.

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Frank Doheny 8 years, 5 months ago

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

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

There are two values that satisfy the quadratic function below when $y=\var{c1}$ :

$y=\var{a1}x^2+\var{b1}x$

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	6
b1	integer	20
c1	integer	5

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.

Type in the greater of the two values that satisfies the equation. Input your answer correct to three decimal places.

$x$ = Gap 0.

Type in the lesser of the two values that satisfies the equation. Input your answer correct to three decimal places.

$x$ = Gap 1.

Advice

The formula for solving a quadratic equation of the form $ax^2+bx+c=0$ is given by

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

In this example $a=\var{a1},\,\,\,b=\var{b1}$ and $c=\var{c1}$

$x=\frac{-\var{b1}\pm \sqrt{\var{b1}^2-4\times\var{a1}\times\var{c1}}}{2\times\var{a1}}$

$x=\frac{-\var{b1}\pm \sqrt{\simplify{{b1}^2-4*{a1}*{c1}}}}{\simplify{2*{a1}}}$

$x=\simplify{(-{b1}+ ({b1}^2-4*{a1}*{c1})^0.5)/(2*{a1})}$ or $x=\simplify{(-{b1}- ({b1}^2-4*{a1}*{c1})^0.5)/(2*{a1})}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

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

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Frank Doheny 7 years, 3 months ago

Frank Doheny 8 years, 4 months ago

Frank Doheny 8 years, 5 months ago

Error in variable testing condition

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Generated value: `integer`

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Gap-fill

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Solving quadratic equations 1(b)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Frank Doheny 7 years, 3 months ago

Frank Doheny 8 years, 4 months ago

Frank Doheny 8 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`