Chapter 5, Problem 5P

Locate the first nontrivial root of sin $x=x^2\text{ where }x$ is in radians. Use a graphical technique and bisection with the initial interval from 0.5 to 1. Perform the computation until ${\epsilon }_a\text{is less than }{\epsilon }_s=2\%$. Also perform an error check by substituting your final answer into the original equation.