Edexcel IGCSE Math A 2.7.HA harder quadratic factorisation

Practise the single harder-quadratic question by forming factors for 8x²-6x-275 and choosing the value of x that fits the diagram.

Exam points

Factorise or solve a quadratic with leading coefficient greater than 1.
Choose the valid root for the context and reject the value that cannot fit the diagram.

[Maximum number: 3]

The diagram shows a trapezium.

Diagram NOT accurately drawn

All measurements shown on the diagram are in centimetres.
The area of the trapezium is $133 \mathrm{~cm}^{2}$

Find the value of x.

Show your working clearly.

Solve:
$8x^2-6x-275=0$ x=6.25

Final answer:
6.25

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