Quadratic Equations | Cambridge O Level Maths Topic Questions 2025

1

4 marks

i)

Write $x^{2} + 8 x - 9$ in the form ${(x + k)}^{2} + h$ .

[2]

ii)

Use your answer to part (i) to solve the equation $x^{2} + 8 x - 9 = 0$ .

$x =$ ................... or $x =$ ................... [2]

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1a

2 marks

Write $x^{2} - 4 x + 7$ in the form ${(x - a)}^{2} + b$ .

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1b

1 mark

Write down the coordinates of the turning point of the graph of $y = x^{2} - 4 x + 7 .$

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1

3 marks

The solutions of the equation $x^{2} + b x + c = 0$ are $\frac{- 7 + \sqrt{61}}{2}$ and $\frac{- 7 - \sqrt{61}}{2} .$

Find the value of $b$ and the value of $c$ .

$b =$ ................................................
$c =$ ................................................

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Quadratic Equations (Cambridge O Level Maths)

Topic Questions