Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set: 86

Answer

$x_{1}=0$ and $x_{2}=1$

Work Step by Step

$(x+6)(x-6)=(2x-9)(x+4)$ $x(x-6)+6(x-6)=2x(x+4)-9(x+4)$ $x^2-6x+6x-36=2x^2+8x-9x-36$ $x^2-36=2x^2-x-36$ $2x^2-x^2-x-36+36=0$ $x^2-x=0$ $x(x-1)=0$ Therefore the solutions are $x_{1}=0$ and $x_{2}=1$
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