# Worksheet: Solving Cubic Equations Iteratively

In this worksheet, we will practice solving cubic equations using an iterative process.

**Q1: **

The equation of the following graph is . Use the iterative formula , starting with , to find the negative root of the equation to 4 decimal places.

**Q2: **

The equation of the following graph is . Use the iterative formula , starting with , to find the largest root of the equation to 4 decimal places.

**Q3: **

The equation of the following graph is . Use the iterative formula , starting with , to find the positive root of the equation to 4 decimal places.

**Q4: **

The equation of the following graph is . Use the iterative formula , starting with , to find the smallest root of the equation to 3 decimal places.

**Q5: **

The equation of the following graph is . An approximate solution to the equation is found using the iterative formula , starting with .

Work out the value of to 3 decimal places.

Work out the solution to 5 decimal places.