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Quadratics

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Question 4

The equation x2+(2k−3)x+(k+3)=0x^2 + (2k - 3)x + (k + 3) = 0x2+(2k−3)x+(k+3)=0, where k k\,k is a constant, has no real roots for the values of k k\,k satisfying

4−192<k<4+192. \frac{4-\sqrt{19}}{2}<k<\frac{4+\sqrt{19}}{2}. 24−19​​<k<24+19​​.

Verify this result.

[8]
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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