Answer
D
Work Step by Step
$\sqrt {c^2-17}=8$
$(\sqrt {c^2-17})^2=8^2$
$c^2-17=64$
$c^2-17+17=64+17$
$c^2 = 81$
$\sqrt {c^2} = \sqrt {81}$
$c= 9, -9$
$\sqrt {c^2-17}=8$
$\sqrt {(-9)^2-17}=8$
$\sqrt {81-17}=8$
$\sqrt {64} = 8$
$8=8$
$\sqrt {c^2-17}=8$
$\sqrt {(-9)^2-17}=8$
$\sqrt {81-17}=8$
$\sqrt {64} = 8$
$8=8$
$\sqrt {c^2-17}=8$
$\sqrt {(9)^2-17}=8$
$\sqrt {81-17}=8$
$\sqrt {64} = 8$
$8=8$