Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Apply What You've Learned: b

Answer

x = 2 ft

Work Step by Step

$192=0.6(16+2x)(12+2x)=0.6($4x^{2}$+56x+192)$ Simplify the equation: $($4x^{2}$+56x+192)=320$ Move everything to one side and solve for x: $x^{2}+14x-32=0$ Next, we factor: $(x-2)(x+16)=0$ The answer is x=2 because x cant be negative.
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