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Quadratic Formula

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Question 5

The diagram shows a six sided shape formed from two rectangles. All measurements are given in centimetres.

A diagram of a six-sided shape formed by two adjacent rectangles. The left rectangle has a width of x-6 and a height of 2x. The right rectangle has a width of 3 and a height of 12-x. They share a common vertical side.

The area of the shape is 24cm2

a.

Show that 2x2−15x+12=02x^2 - 15x + 12 = 02x2−15x+12=0

[2]
b.

Find the value of xxx. Give your answer to 3 significant figures.

[3]

Quadratic Formula Questions

  1. GCSE
  2. /Maths
  3. /Quadratic Formula

Practise Edexcel GCSE Maths Quadratic Formula with exam-style questions for Foundation and Higher tier. 49 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank