Chapter 1.2, Problem 17ES

a.

To determine

The most accurate approximations of the roots of the quadratic equation $\frac{1}{3}{x}^2-\frac{123}{4}x+\frac{1}{6}=0$, using four digit chopping arithmetic and to compute the absolute and relative errors.

b.

To determine

The most accurate approximations of the roots of the quadratic equation $\frac{1}{3}{x}^2+\frac{123}{4}x-\frac{1}{6}=0$, using four digit chopping arithmetic and to compute the absolute and relative errors.

c.

To determine

The most accurate approximations of the roots of the quadratic equation $1.002x^2-11.01x+0.01265=0$, using four digit chopping arithmetic and to compute the absolute and relative errors.

d.

To determine

The most accurate approximations of the roots of the quadratic equation $1.002x^2+11.01x+0.01265=0$, using four digit chopping arithmetic and to compute the absolute and relative errors.