Chapter 10 - Section 10.3 - Solving Nonlinear Systems of Equations - Exercise Set - Page 625: 45

$(-9, -7)$, $(-9, 7)$, $(9, -7)$, $(9, 7)$

$x^2+y^2=130$ $x^2-y^2=32$ $x^2+y^2+x^2-y^2 = 130+32$ $2x^2=162$ $2x^2/2=162/2$ $x^2=81$ $\sqrt{x^2} = \sqrt{81}$ $x=9, -9$ $x^2-y^2=32$ $81-y^2=32$ $81-y^2+y^2-32=32+y^2-32$ $49=y^2$ $\sqrt{y^2}=\sqrt {49}$ $y= 7, -7$