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 - 9.5 - Solving Quadratic Equations Using the Quadratic Formula - Exercises - Page 522: 49

Answer

Your friend is incorrect.

Work Step by Step

$$2x^2-5x-2=-11$$ $$2x^2-5x-2+11=0$$ $$2x^2-5x+9=0$$ $$D=b^2-4ac=(-5)^2-4(2)(9)=25-72=-47$$ Since he discriminant is negative, the equation does not have real solutions. So your friend is incorrect.
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