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Cambridge AS & A Level Mathematics

2.6, 3.6Numerical solution of equations

Numerical solution of equations in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic17 practice questions1 lesson
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Learning objectives

What the syllabus expects you to be able to do.

  1. 3.6.1Papers 2 and 3: locate a root approximately by graphical considerations or a change of sign.
  2. 3.6.2Papers 2 and 3: understand and use the notation for a sequence of approximations converging to a root.
  3. 3.6.3Papers 2 and 3: relate an iterative formula xₙ₊₁ = F(xₙ) to the equation being solved and use it to find a root to a prescribed accuracy.

Lessons

  • Locating roots and fixed-point iteration

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Numerical solution of equations: sample question

1 mark

The equation x3+x−3=0x^3 + x - 3 = 0 has exactly one real root. Between which pair of consecutive integers does it lie?

Choose one answer

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