Quadratic Equations (CIE IGCSE Maths: Extended)

Topic Questions

2 marks

Write $x^{2} - 18 x - 27$ in the form ${(x + k)}^{2} + h$ .

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2 marks

Use your answer to part (a) to solve the equation $x^{2} - 18 x - 27 = 0 .$

$x =$ .................... or $x =$ ....................

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4 marks

Use the quadratic formula to solve $9 x^{2} - 12 x - 23 = 0$ .
Give your answers correct to 2 decimal places.

$x =$ ............................ or $x =$ ............................

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3 marks

Solve $2 x^{2} + 9 x - 7 = 0$

Give your solutions correct to 3 significant figures.

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2 marks

Solve $\frac{2}{y^{2}} + \frac{9}{y} - 7 = 0$
Give your solutions correct to 3 significant figures.

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