Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - 3.2 The Vertex of a Parabola - Exercises and Problems for Section 3.2 - Skill Refresher - Page 127: S7



Work Step by Step

Completing the square, we find: $$5\left(q^2-\frac{2q}{5}-\frac{8}{5}\right) \\ 5\left(q-\frac{1}{5}\right)^2-\frac{41}{5}$$ Setting this equal to zero: $$5\left(q-\frac{1}{5}\right)^2=\frac{41}{5} \\ q=\frac{\sqrt{41}+1}{5},\:q=\frac{-\sqrt{41}+1}{5}$$
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