Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.5 - Equations - 1.5 Exercises: 80

Answer

$x = -\frac{7}{5}$

Work Step by Step

$Find$ $all$ $real$ $solutions$ $of$ $the$ $quadratic$ $equation:$ $25x^2+70x+49=0$ Use the Quadratic Equation Formula: $x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}$ $25x^2+70x+49$ $a = 25, b = 70, c = 49$ $x = \frac{-(70) \pm \sqrt {(70)^2- 4(25 \times 49)}}{2(25)}$ $x = \frac{-70 \pm \sqrt {4900- 4900}}{50}$ $x = \frac{-70 \pm \sqrt{0}}{50}$ $x = \frac{-70}{50}$ $x = -\frac{7}{5}$
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