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 9 - Solving Quadratic Equations - 9.2 - Solving Quadratic Equations by Graphing - Monitoring Progress - Page 491: 9

Answer

No real solutions.

Work Step by Step

The given equation is $2x+5=-x^2$ Add $x^2$ to each side. $2x+5+x^2=-x^2+x^2$ Simplify. $x^2+2x+5=0$ Graph the related function. $f(x)=x^2+2x+5$ There are no $x-$ intercepts. Hence, the equation has no real solutions.
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