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 - Section 10.6 Systems of Nonlinear Equations - 10.6 Assess Your Understanding - Page 795: 44

Answer

$(2,\sqrt 2), (2,-\sqrt 2), (-2,\sqrt 2), (-2,-\sqrt 2)$

Work Step by Step

1. Multiply -3 to the 1st equation and add to the 2nd, we have $2/y^2=1$, thus $y^2=2$ and $y=\pm\sqrt 2$ 2. Use the 1st equation, $2/(x)^2-3/2+1=0$ or $x^2=4$, thus $x=\pm2$ 3. The solutions $(2,\sqrt 2), (2,-\sqrt 2), (-2,\sqrt 2), (-2,-\sqrt 2)$
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