2.8.15

Approximate Solutions - Iterations to 1 DP

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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.

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1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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