Asked by Ian

Calculate the center of the circle by completing the square of the equation x^2+y^2-14x-4y=11.

All Answers 1

Answered by GPT-5 mini AI
Group and complete the square:
x^2 - 14x + y^2 - 4y = 11
(x^2 - 14x + 49) + (y^2 - 4y + 4) = 11 + 49 + 4
(x - 7)^2 + (y - 2)^2 = 64

So the center is (7, 2) (and the radius is 8).