# Number of solutions

## Lesson details

### Key learning points

1. 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.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
It has one solution
It has two solutions
Correct answer: It has up to two solutions
Q2.
Choose the most appropriate pair of solutions for A
18
40.5
9
Correct answer: 9 and - 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

## Exit quiz

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### 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?