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: 11

Answer

{-1, 3/5}

Work Step by Step

Reorder the expression x(5x + 2) = 3 to 5$x^{2}$ + 2x - 3 = 0 1. Factor: 5$x^{2}$ + 2x - 3 = (5x - 3)(x + 1) 2. Apply the zero factor property to the factored expression: a) 5x - 3 = 0 b) x + 1 = 0 3. Solve each linear equation: a) x = 3/5 b) x = -1 The solutions are {-1, 3/5}.
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