Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Review Exercises - Page 817: 46

Answer

{$(3, \sqrt 6), (3, -\sqrt 6),(-3, \sqrt 6), (-3, -\sqrt 6)$}

Work Step by Step

On subtracting the given two equations, we have $x^2=9$ or, $x=${$-3,3$} From the second equation, we have $x^2+y^2=15$ For $x=3$ Then $3^2+y^2=15$ or, $y^2=6$ Thus, $y=\pm \sqrt 6$ From the second equation, we have $x^2+y^2=15$ For $x=-3$ Then $(-3)^2+y^2=15$ or, $y^2=6$ Thus, $y=\pm \sqrt 6$ Hence, the solution set: {$(3, \sqrt 6), (3, -\sqrt 6),(-3, \sqrt 6), (-3, -\sqrt 6)$}
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