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: 7

Answer

$x$ = $\frac{5}{14}$

Work Step by Step

Given equation is- $\frac{2}{x}+\frac{1}{2x}$ = $7$ Algebraic Solution: Multiplying the given equation by $2x$ on both the sides- $4 + 1$ = $14x$ i.e. $14x$ = $5$ i.e. $x$ = $\frac{5}{14}$ i.e. $x$ = $\frac{5}{14}$ is the required solution Graphical Solution: On rearranging the given equation- $14x-5$ = $0$ Now graphing $y$ = $14x-5$ We see that graph intercept $x-axis$ at $0.3571$ Thus from the graph we conclude that the solution is $x$ = $0.3571$ or $\frac{5}{14}$
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