Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 593: 22

{$6+2\sqrt{19},6-2\sqrt{19}$}

Given: $x^2-6x+9=49$ This can be written as: $x^2-6x-49=-9$ or, $x^2-6x+36=-9+49+36$ or, $(x-6)^2=76$ Apply The Square Root Property. or, $x-6=\sqrt{76}$ Thus, $x-6=\pm 2\sqrt{19}$ or, $x=6+2\sqrt{19},6-2\sqrt{19}$ Hence, solution set is $x=${$6+2\sqrt{19},6-2\sqrt{19}$}