Answer
{-3, 6}
Work Step by Step
1. Factor the expression.
$z^{2}$/6 - z/2 - 3 = (z/3 + 1)(z/2 - 3)
2. Apply the zero factor property.
a) z/3 + 1 = 0
b) z/2 - 3 = 0
3. Solve each linear equation.
a) z = -3
b) z = 6
The solutions are {-3, 6}.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
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 323: 15
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