Ruffini-Horner Method/Examples/Arbitrary Example 1

Examples of Use of the Ruffini-Horner method
Consider the polynomial equation:
 * $\map f x = x^2 - x - 1 = 0$

We have that:

so we observe there is a root between $x = 1$ and $x = 2$.

Then:

We then identify a root between $x = 0.6$ and $x = 0.7$.

This leads to calculating:
 * $\map {f_2} x = \map {f_1} {x - 0.6}$

Hence and so, until the required accuracy is achieved.