Year 9

# Number of solutions

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## Lesson details

### Key learning points

- In this lesson, we will look at the number of possible solutions for quadratic equations and investigate patterns linking the form of an equation and the number of real solutions it has.

### Licence

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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### 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

### 5 Questions

Q1.

How many real solutions does 'A' have?

One

Zero

Q2.

How many real solutions does 'B' have?

One

Two

Q3.

How many real solutions does 'C' have?

One

Two

Q4.

How many real solutions does 'D' have?

Two

Zero

Q5.

How many real solutions does 'E' have?

One

Zero