Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Appendix A - A.5 - The Quadratic Formula and Square Root Properties - Exercises - Page 562: 32

Answer

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