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: 29

Answer

$x = -2.5~~$ or $~~x = 2.5$

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: $4x^2 -25 = 0$ $4x^2 = 25$ $x^2 = \frac{25}{4}$ $x = \pm \sqrt{\frac{25}{4}}$ $x = \pm \frac{\sqrt{25}}{\sqrt{4}}$ $x = \pm \frac{5}{2}$ $x = -2.5~~$ or $~~x = 2.5$
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