9.1.1

Number Iterations

Test yourself

Approximate Solutions

Find the approximate solution to x³ - 3x + 1 = 0:

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Sub in a trial solution x = 1

  • This is just an educated guess, we could use any number but we think
    x = 1 will be roughly right.
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Approximation of x

  • x = 1 gives a result below 0
  • x = 2 gives a result above 0
  • Therefore the x value which gives exactly 0 must be in between 1 and 2.
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Function notation

  • f(x) = x3 - 3x + 1 so we can write the solution like this.

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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