Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Appendix A - A.5 - The Quadratic Formula and Square Root Properties - Exercises - Page 555: 32


$x = -\sqrt{\frac{b}{a}}~~$ or $~~x = \sqrt{\frac{b}{a}}$

Work Step by Step

We can write the general form of the square roots property: If $x^2 = a$ where $a \geq 0$, then $x = \pm \sqrt{a}$ We can solve the incomplete quadratic equation: $ax^2 -b = 0$ $ax^2 = b$ $x^2 = \frac{b}{a}$ $x = \pm \sqrt{\frac{b}{a}}$ $x = -\sqrt{\frac{b}{a}}~~$ or $~~x = \sqrt{\frac{b}{a}}$
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.