Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-4 Factoring to Solve Quadratic Equations - Lesson Check: 2

Answer

t=−9 OR t=6

Work Step by Step

Factor the equation, then use the zero product property. (If the product is 0, one of the factors is zero.) $t^2+3t−54=0 $ (t+?)(t−?)=0 ⟶The 3rd term is negative, so the factors have opposite operations (t+9)(t−6)=0 t+9=0 OR t−6=0 ⟶ solve for t using the addition property of equality t+9−9=0−9 OR t−6+6=0+6 t=−9 OR t=6
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