SOLUTION: Complete the square and write the given equation in the standard form for the equation of a circle. then give the center and radius of the circle and sketch the graph. x^2-6x+y^2

Algebra ->  Graphs -> SOLUTION: Complete the square and write the given equation in the standard form for the equation of a circle. then give the center and radius of the circle and sketch the graph. x^2-6x+y^2      Log On


   



Question 88804: Complete the square and write the given equation in the standard form for the equation of a circle. then give the center and radius of the circle and sketch the graph.
x^2-6x+y^2+2y=6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
give the center and radius of the circle and sketch the graph.
x^2-6x+y^2+2y=6
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Complete the square on the x terms and on the y terms:
(x^2-6x+9) + (y^2+2y+1) = 6+9+1
Factor as follows:
(x-3)^2 + (y+1)^2 = 16
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Draw the following circle:
Center is at (3,-1) ; the radius = 4
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Cheers,
Stan H.