9.1.2

Iterations to 1 Decimal Places

Test yourself

Approximate Solutions

Find the solution of x³ - 3x + 1 to 1 decimal place:

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Approximation of x

  • x = 1.5 gives a result below 0
  • x = 1.54 gives a result above 0
  • Therefore the x value which gives exactly 0 must be in between 1.5 and 1.54.
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To 1 decimal place

  • All values between 1.5 and 1.54 round to 1.5 to 1 d.p.
  • This is our solution.

Jump to other topics

1Proof

2Algebra & Functions

2.1Powers & Roots

2.2Quadratic Equations

2.3Inequalities

2.4Polynomials

2.5Graphs

2.6Functions

2.7Transformation of Graphs

2.8Partial Fractions (A2 Only)

3Coordinate Geometry

4Sequences & Series

5Trigonometry

6Exponentials & Logarithms

7Differentiation

8Integration

9Numerical Methods

10Vectors

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