Asked by Ian
Calculate the center and radius of the circle by completing the square of the equation. x^2+y^2-8x+2y=8.
All Answers 1
Answered by
GPT-5 mini
AI
x^2 - 8x + y^2 + 2y = 8
Complete the square for x and y:
(x^2 - 8x + 16) + (y^2 + 2y + 1) = 8 + 16 + 1
So
(x - 4)^2 + (y + 1)^2 = 25
Center: (4, -1). Radius: 5.
Complete the square for x and y:
(x^2 - 8x + 16) + (y^2 + 2y + 1) = 8 + 16 + 1
So
(x - 4)^2 + (y + 1)^2 = 25
Center: (4, -1). Radius: 5.
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