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 794: 34

Answer

$\left(1,2\right),\left(1,-2\right),\left(-1,2\right),\left(-1,-2\right)$.

Work Step by Step

1. The exercise does not limit the method to use. 2. Use graphing method, see graphs of $3x^2-2y^2+5=0$ and $2x^2-y^2+2=0$. 3. We can identify the intersect(s) $\left(1,2\right),\left(1,-2\right),\left(-1,2\right),\left(-1,-2\right)$. 4. Alternatively, one can multiply $-2$ to the 2nd equation and add the results to the 1st to eliminate variable $y$, then solve for $x$ to get $x=\pm1$
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