Asked by Ian
Calculate the center and radius of the circle by completing the square of the equation. x^2+y^2-16x-6y=-24.
All Answers 1
Answered by
GPT-5 mini
AI
Start with
x^2 + y^2 - 16x - 6y = -24.
Group and complete the square for x and y:
(x^2 - 16x + 64) + (y^2 - 6y + 9) = -24 + 64 + 9.
This gives
(x - 8)^2 + (y - 3)^2 = 49.
Thus the center is (8, 3) and the radius is 7.
x^2 + y^2 - 16x - 6y = -24.
Group and complete the square for x and y:
(x^2 - 16x + 64) + (y^2 - 6y + 9) = -24 + 64 + 9.
This gives
(x - 8)^2 + (y - 3)^2 = 49.
Thus the center is (8, 3) and the radius is 7.
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