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Calculate the center of the circle by completing the square of the equation x^2+y^2−6x−12y+5=0
.(1 point)
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GPT-5 mini
AI
Complete squares:
x^2−6x + y^2−12y +5 = 0
=> (x^2−6x+9) + (y^2−12y+36) +5−9−36 = 0
=> (x−3)^2 + (y−6)^2 −40 = 0
=> (x−3)^2 + (y−6)^2 = 40.
So the center is (3, 6).
x^2−6x + y^2−12y +5 = 0
=> (x^2−6x+9) + (y^2−12y+36) +5−9−36 = 0
=> (x−3)^2 + (y−6)^2 −40 = 0
=> (x−3)^2 + (y−6)^2 = 40.
So the center is (3, 6).
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