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: 14

Answer

$x$ $\approx$ $2.61$

Work Step by Step

Given equation is- $2x^{5}-243$ = $0$ Algebraic Solution: $2x^{5}-243$ = $0$ i.e. $2x^{5}$ = $243$ i.e. $x^{5}$ = $\frac{243}{2}$ i.e. $x$ = $\sqrt[5] {\frac{243}{2}}$ Using calculator- $x$ $=$ $2.6116516899$ $x$ $\approx$ $2.61$ Graphical Solution: $2x^{5}-243$ = $0$ Now graphing $y$ = $2x^{5}-243$ We get $x-intercept$ as $2.61$ i.e. $x$ = $2.61$
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