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: 24

Answer

$0$, and $3.31$

Work Step by Step

Given equation- $x^{\frac{1}{2}} +x^{\frac{1}{3}} -x$ = $0$ , in the interval [-1,5] We are asked to find all solutions 'x' that satisfy $-1 \leq x \leq 5$, so we use a graphing calculator to graph the equation in a viewing rectangle for which the x-values are restricted to the interval [-1,5] . Graphing $y$ = $x^{\frac{1}{2}} +x^{\frac{1}{3}} -x$, using graphing calculator- There are two $x-intercepts$ in the given interval, $x= 0$, and $3.31$ i.e. $x= 0$, and $3.31$
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