Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - 10.1 - Quadratic Equations - Problem Set 10.1: 33

Answer

{$-\frac{3\sqrt 2}{2}, \frac{3\sqrt 2}{2}$}.

Work Step by Step

Using Property 10.1, which states that for any non-negative real number $a$, $x^{2}=a$ can be written as $x=\pm\sqrt a$, we obtain: Step 1: $2x^{2}=9$ Step 2: $x^{2}=\frac{9}{2}$ Step 3: $x=\pm \sqrt {\frac{9}{2}}$ Step 4: $x=\pm \frac{\sqrt 9}{\sqrt 2}$ Step 5: $x=\pm \frac{3}{\sqrt 2}$ Step 6: $x=\pm \frac{3}{\sqrt 2}\times\frac{\sqrt 2}{\sqrt 2}$ Step 7: $x=\pm \frac{3\sqrt 2}{(\sqrt 2)^{2}}$ Step 8: $x=\pm \frac{3\sqrt 2}{2}$ The solution set is {$-\frac{3\sqrt 2}{2}, \frac{3\sqrt 2}{2}$}.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.