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 - Chapter Review Exercises - Page 400: 21

Answer

No real solution

Work Step by Step

Given $$3 x^2+75 =0.$$ Apply the square root property to solve. \begin{equation} \begin{aligned} 3 x^2+75 & =0 \\ 3 x^2 & =-75 \\ x^2 & =-\frac{75}{3}. \end{aligned} \end{equation} As we got that $x^2<0$, it follows that this equation has no real solution.
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