Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.11 - Solving Equations and Inequalities Graphically - 1.11 Exercises - Page 121: 18

Answer

$x= 0.25$ and $0.50$

Work Step by Step

Given equation- $x^{2}-0.75x+0.125$ = $0$ in the interval [-2,2] We are asked to find all solutions x that satisfy $-2 \leq x \leq 2$, so we use a graphing calculator to graph the equation in a viewing rectangle for which the x-values are restricted to the interval [0-2,2] . Graphing $y$ = $x^{2}-0.75x+0.125$, using graphing calculator- There are two $x-intercepts$ in the given interval, $x= 0.25$ and $x= 0.50$ Thus in the given interval, $x= 0.25$ and $0.50$
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