Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.2 - Solving Quadratic Equations by the Quadratic Formula - Exercise Set: 66

Answer

t=2.3 s

Work Step by Step

$$h = -16t^2-20t+180$$ We want to consider when h=50, so: $$0 = -16t^2-20t+130$$ We use the quadratic formula $$t= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ Where b is the coefficient of the term with a variable raised to the first power, a is the coefficient of the squared term, and c is the coefficient of the term without a variable in front of it. We now solve, considering only the positive value, to have: t=2.3 s
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