College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.4 - Systems of Nonlinear Equations - 5.4 Exercises - Page 465: 10

Answer

$(\sqrt{11},-4),(-\sqrt{11},-4)$

Work Step by Step

If we add $-1.5$ times the second equation to the first one, we get: $-3.5y=14\\y=-4$ Plugging this back into the first one, we get: $3x^2+4(-4)=17\\3x^2=33\\x^2=11\\x=\pm\sqrt{11}$ Hence, the solutions are: $(\sqrt{11},-4),(-\sqrt{11},-4)$
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