Chapter 8.8, Problem 4E

To determine

ToRUN thegiven program to locate the zeroesof the given function using a subdivision of $0.1$ .

Explanation of Solution

Given:

The given function is $\mathrm{P}(\mathrm{x})=42{\mathrm{x}}^2-13\mathrm{x}+1$ which has two real zeroes between $\mathrm{x}=0$ and $\mathrm{x}=1$

Calculation:

After running the given program given in textbook, the following two zeroes of the polynomial for the interval from $\mathrm{x}=0$ to $\mathrm{x}=1$ using a subdivision of $0.1$ , were located-

  $\begin{array}{l}\mathrm{x}=0.14286\\ \mathrm{x}=0.16667\end{array}$