## Algebra 1

Published by Prentice Hall

# Chapter 9 - Quadratic Functions and Equations - 9-3 Solving Quadratic Equations - Practice and Problem-Solving Exercises - Page 552: 46

#### Answer

t $\approx$ ± 2.83

#### Work Step by Step

$\frac{1}{2}$$t^{2} - 4 = 0 The first step is to add 4 to both sides: \frac{1}{2}$$t^{2}$ - 4 + 4 = 0 + 4 $\frac{1}{2}$$t^{2} = 4 Next, divide both sides by \frac{1}{2} (which is the same as multiplying by 2) to help isolate the t: 2(\frac{1}{2}$$t^{2}$) = 2(4) $t^{2}$ = 8 Lastly, take the square root of both sides: $\sqrt t^{2}$ = $\sqrt 8$ t = ± 2$\sqrt 2$ $\approx$ ± 2.83

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.