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Completing the Square

Completing the Square

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Question 53
a.

Write 2x2−16x+222x^2 - 16x + 222x2−16x+22 in the form a(x+b)2+ca(x + b)^2 + ca(x+b)2+c where aaa, bbb, and c c\,c are integers.

[3]
b.

Hence, or otherwise, write down the coordinates of the turning point of the graph of y=2x2−16x+22y = 2x^2 - 16x + 22y=2x2−16x+22

[1]
c.

Hence, solve the equation 2x2−16x+22=82x^2 - 16x + 22 = 82x2−16x+22=8

[2]
Markscheme

Completing the Square Questions

  1. GCSE
  2. /Maths
  3. /Completing the Square

250 exam-style questions on OCR GCSE Maths Completing the Square. Each one has a worked solution and a mark scheme showing where the marks go.

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