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1.2 Algebra

1.2 Algebra

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Question 92
62%
a.

By completing the square, 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
[3]
b.

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

[2]
Markscheme

1.2 Algebra Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra

303 exam-style questions on OCR (MEI) A Level Maths 1.2 Algebra, covering 1.2.1 Algebraic vocabulary and notation, 1.2.2 Solve linear equations, 1.2.3 Change the subject of a formula, 1.2.4 Solve quadratic equations, 1.2.5 Discriminant of a quadratic, 1.2.6 Linear simultaneous equations, 1.2.7 One linear one quadratic simultaneous equations, 1.2.8 Points of intersection and solutions, 1.2.9 Linear inequalities, 1.2.10 Quadratic inequalities, 1.2.11 Expressing solutions of inequalities, 1.2.12 Use and manipulate surds, 1.2.13 Rationalise the denominator, 1.2.14 Laws of indices, 1.2.15 Negative, fractional and zero indices, 1.2.16 Proportional relationships, 1.2.17 Partial fractions (A-level only), and 1.2.18 Simplify rational expressions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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