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2.2 Completing the Square

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Question 8
a.

By completing the square, show that

x2+px+4=(x+p2)2−p24+4 x^2+px+4=\left(x+\frac p2\right)^2-\frac{p^2}{4}+4 x2+px+4=(x+2p​)2−4p2​+4
[1]
b.

Hence find in terms of the constant p p\,p the roots of the equation

x2+px+4=0 x^2+px+4=0 x2+px+4=0
[2]
c.

Hence find the set of values of p p\,p for which the equation has no real roots.

[1]
Markscheme

2.2 Completing the Square Questions

  1. A Level
  2. /Maths
  3. /2.2 Completing the Square

14 exam-style questions on Edexcel A Level Maths 2.2 Completing the Square. Each one has a worked solution and a mark scheme showing where the marks go.

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