Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set: 24

Answer

{-5, -1/3, 5}

Work Step by Step

1. Make sure all factors are fully factored. $x^{2}$ - 25 = (x + 5)(x - 5) 2. Apply the zero factor property. a) x + 5 = 0 b) x - 5 = 0 c) 3x + 1 = 0 3. Solve each linear equation. a) x = -5 b) x = 5 c) x = -1/3 The solutions are {-5, -1/3, 5}.
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