SOLUTION: Write in center-radius form. Give the center and radius. Hint: Use completing the square. x^2 y^2-10x-6y 25=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write in center-radius form. Give the center and radius. Hint: Use completing the square. x^2 y^2-10x-6y 25=0      Log On


   

Question 494622: Write in center-radius form. Give the center and radius. Hint: Use completing the square. x^2 y^2-10x-6y 25=0
Answer by lwsshak3(11628) About Me  (Show Source):
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Write in center-radius form. Give the center and radius. Hint: Use completing the square.
x^2+ y^2-10x-6y+ 25=0
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Standard form of equation for a circle: (x-h)^2+(y-k)^2=r^2, (h,k) being the (x,y) coordinates of the center and r=radius
..
complete the squares
(x^2-10x+25)+(y^2-6y+9)=-25+25+9=9
equation:
(x-5)^2+(y-3)^2=9
Center: (5/2)
Radius=√9=3