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Quadratics

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Question 69
a.

By completing the square, verify that the roots of the equation

x2+px+4=0 x^2 + px + 4 = 0 x2+px+4=0

are

x=−p2±p24−4 x = -\frac{p}{2} \pm \sqrt{\frac{p^2}{4} - 4} x=−2p​±4p2​−4​
[3]
b.

Hence verify that the set of values of p p\,p for which the equation has no real roots is

−4<p<4 -4 < p < 4 −4<p<4
[2]
Markscheme

Quadratics Questions

  1. A Level
  2. /Maths
  3. /Quadratics

322 exam-style questions on Edexcel A Level Maths Quadratics, covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics. Each one has a worked solution and a mark scheme showing where the marks go.

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