# Solving pure quadratic equations

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## Lesson details

### Key learning points

- In this lesson, we will solve pure quadratic equations in the form ax² + c. We will investigate patterns of behaviour with these specific cases.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 7 Questions

Q1.

Is 'A' a quadratic equation?

No, the highest power is not two

No, there is no equals sign

Q2.

Is 'B' a quadratic equation?

No, the highest power is not two

No, there is no equals sign

Q3.

Is 'C' a quadratic equation?

No, the highest power is not two

No, there is more than one variable

No, there is no equals sign

Q4.

Is 'C' a quadratic equation?

No, the highest power is not two

No, there is no equals sign

Q5.

Is 'D' a quadratic equation?

No, there is no equals sign

Yes

Q6.

Which equation is correct for the area?

A

B

Q7.

Which could you form a quadratic equation for the volume of this shape from?

A

C

### 5 Questions

Q1.

Which is of the following is true about quadratic equations:

It has one solution

It has two solutions

Q2.

Choose the most appropriate pair of solutions for A

18

40.5

9

Q3.

Choose the most appropriate pair of solutions for B

24.5 and -24.5

sqrt(51) and - sqrt(51)

sqrt(53) and - sqrt(53)

Q4.

Choose the most appropriate pair of solutions for C

3 and -3

3 and 7

sqrt(23) and - sqrt(23)

sqrt(27) and - sqrt(27)

Q5.

Choose the most appropriate pair of solutions for D

3 and -3

sqrt(39)/3 and - sqrt(39)/3