Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 10 - Radical Functions and Equations - 10.2 - Graphing Cube Root Functions - Exercises - Page 556: 47

Answer

The equation has no real solution.

Work Step by Step

The given expression is $\Rightarrow 5x^2+20=0$ Subtract $20$ from each side. $\Rightarrow 5x^2+20-20=0-20$ Simplify. $\Rightarrow 5x^2=-20$ Divide each side by $5$. $\Rightarrow \frac{5x^2}{5}=-\frac{20}{5}$ Simplify. $\Rightarrow x^2=-4$ $-4\leq0$ is a negative number. Hence, the equation has no real solution.
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