Chapter 5, Problem 2P

Determine the real root of $f\left(x\right)=5x^3-5x^2+6x-2$:

(a) Graphically.

(b) Using bisection to locate the root. Employ initial guesses of $x_l=0\text{and }{x}_u=1$ and iterate until the estimated error ${\epsilon }_a$ falls below a level of ${\epsilon }_s=10\%$.