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 - Page 325: 99

Answer

The factors on the left side of the equation can only be equated to zero if the right side of the equation is zero.

Work Step by Step

The factors on the left side of the equation can only be equated to zero if the right side of the equation is zero. The correct solution is: $\\y(y-5)=-6 \\y^2-5y=-6 \\y^2-5y+6=0$ Factor the trinomial. The factors of 6 whose sum is -5 are $-3$ and $-3$. Thus, the factored form of the trinomial is: $\\(y-3)(y-2)=0$ Equate each factor to zero then solve each equation to have: $\\y-3=0 \text{ or } y-2=0 \\y=3 \text{ or } y=2$
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