Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.6 Solving Quadratic Equations by Using the Quadratic Formula - 4.6 Exercises - Page 373: 34


$\color{blue}{\left\{0, 1\right\}}$

Work Step by Step

Factor out $4t$: $$4t(t-1)=0$$ Use the Zero-Product Property by equating each factor to zero. Then, solve each equation to obtain: \begin{align*} 4t&=0 &\text{or}& &t-1=0\\ t&=0 &\text{or}& &t=1\\ \end{align*} Therefore, the solution set is $\color{blue}{\left\{0, 1\right\}}$.
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