Chapter 5, Problem 7P

Determine the real root of $f\left(x\right)=\left(0.8-0.3x\right)/x$:

(a) Analytically.

(b) Graphically.

(c) Using three iterations of the false-position method and initial guesses of 1 and 3. Compute the approximate error ${\epsilon }_a$ and the true error ${\epsilon }_t$ after each iteration. Is there a problem with the result?