Using the following equation, find the center and radius of the circle by completing the square. x2 + y2 − 10x − 14y − 7 = 0 center: (−5, −7), r = 81 center: (−5, −7) r = 9 center: (5, 7), r = 81 center: (5, 7), r = 9

11 months ago**What ideas do you have from this?**

start with the x terms x^2 − 10x the first step to completing the square is to take the coefficient of the x term (not the x^2 term, the x term), divide by 2, and square the result so (-10/2)^2 = 25 add this to both sides to get x2 + y2 − 10x − 14y − 7 + 25 = 25 same logic with the y terms then factor the two perfect squares and move the other terms to the other side of the equation you should end up w/ something like (x-h)^2 + (y-k)^2 = r^2 where the radius is (h,k) and the radius is r be careful with signs

11 months ago