Question 689033
Complete the square for both x and y


{{{x^2+y^2-14x-6y=23}}}


{{{x^2-14x+y^2-6y=23}}}


{{{x^2-14x+49+y^2-6y=23+49}}}


{{{x^2-14x+49+y^2-6y+9=23+49+9}}}


{{{(x-7)^2+(y-3)^2=81}}}


{{{(x-7)^2+(y-3)^2=9^2}}}


So this is a circle with center (7, 3) and radius 9.