Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 13 - Section 13.3 - Solving Nonlinear Systems of Equations - Exercise Set - Page 948: 23

Answer

${(-1, 3), (1,3)}$

Work Step by Step

$y=x^2+2$ $y=-x^2+4$ $x^2+2=-x^2+4$ $x^2+2+x^2-2=-x^2+4+x^2-2$ $2x^2=2$ $2x^2/2=2/2$ $x^2=1$ $\sqrt {x^2}=\sqrt 1$ $x= ±1$ $y=x^2+2$ $y=1+2$ $y=3$
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