College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.1 - Linear Equations - 1.1 Assess Your Understanding: 45

Answer

$x= 2$

Work Step by Step

$(x + 7)(x - 1) = (x+1)^{2}$ The simplest and fastest way to solve this equation is by expanding and then simplifying. $x^{2} + 7x - x - 7 = x^{2} + 2x + 1$ $x^{2} + 6x - 7 = x^{2} + 2x + 1$ $x^{2} - x^{2} + 6x - 2x = 1 + 7$ $ 4x = 8$ $ x = 2$
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