Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Chapter Test - Page 817: 21

Answer

$(1,3),(1,-3)$

Work Step by Step

1. Use the 2nd equation and plugin the 1st to get $3x^2+9x=12$ or $x^2+3x-4=0$ or $(x+4)(x-1)=0$, thus $$x=-4, 1$ 2. For $x=-4$, we have $y^2=-36$ no real solution 3. For $x=1$, we have $y^2=9$, thus $y=\pm3$ 4. The solutions are $(1,3),(1,-3)$
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