2.8.14

Approximate Solutions - Number of Iterations

Test yourself

Approximate Solutions

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

Illustrative background for Sub in a trial solution x = 1Illustrative background for Sub in a trial solution x = 1 ?? "content

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.
Illustrative background for Approximation of xIllustrative background for Approximation of x ?? "content

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.
Illustrative background for Function notationIllustrative background for Function notation ?? "content

Function notation

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

Jump to other topics

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

Go student ad image

Unlock your full potential with GoStudent tutoring

  • Affordable 1:1 tutoring from the comfort of your home

  • Tutors are matched to your specific learning needs

  • 30+ school subjects covered

Book a free trial lesson