Key learning points

1. If the value is a solution, then substituting it into the equation should mean the equation evaluates to 0
2. Since the solution is an approximation, it is unlikely to be exactly 0
3. By substituting the upper and lower bonds of the estimated value into the equation, you can tell if the estimate is good
4. If the two values produce one positive and one negative value, this implies the graph would cross the x axis
5. The x intercept would be a solution to the equation

Keywords

• Iteration - Iteration is the repeated application of a function or process in which the output of each iteration is used as the input for the next iteration.

• Lower bound - The lower bound for a rounded number is the smallest value that the number could have taken prior to being rounded.

• Upper bound - The upper bound for a rounded number is the smallest value that would round up to the next rounded value.

Common misconception