Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 587: 22

Answer

$$x=252.5 \ ft $$

Work Step by Step

$$ \text{The quadratic formula is given by:}$$ $$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ $$ \text{Plugging in the given values:}$$ $$a=-0.004, b=1, c=2.5$$ $$ x = \frac{-1 \pm \sqrt{1^2-4(-0.004)(2.5)}}{2(-0.004)}$$ $$\text{Reducing within the radical gives: } $$ $$ x = \frac{-1 \pm \sqrt{1.04}}{(2)-0.004}$$ $$ \text {This gives: } $$ $$x=-2.47548783981963,252.47548783982$$ $$ \text{Thus, the distance will be:}$$ $$ 252.5 \ ft $$
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