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Completing the Square

Completing the Square

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Question 48
a.

Write x2−4x+1x^2 - 4x + 1x2−4x+1 in the form (x+a)2+b(x + a)^2 + b(x+a)2+b where a a\,a and b b\,b are integers.

[2]
b.

Hence, or otherwise, write down the coordinates of the turning point of the graph of y=x2−4x+1y = x^2 - 4x + 1y=x2−4x+1

[1]
c.

Hence, or otherwise, solve x2−4x+1=0x^2 - 4x + 1 = 0x2−4x+1=0, giving your answers in exact form.

[2]
Markscheme

Completing the Square Questions

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

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

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