Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.6 Solving Quadratic Equations by Using the Quadratic Formula - 4.6 Exercises - Page 373: 47

Answer

No real solution

Work Step by Step

We rewrite the equation: $$ \begin{aligned} 23 & =-2(s+9)^2+5 \\ 23-5 & =-2(s+9)^2 \\ 18 & =-2(s+9)^2 \\ -\frac{18}{2} & =(s+9)^2 \\ -9 & =(s+9)^2. \end{aligned} $$ As the left side is negative and the right side is positive, the equatikn has no real solution.
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