SOLUTION: Determine whether the equation represents a circle, a point, or has no graph. If the equation is that of a circle, find its center and radius. (2x^2)+(2y^2)-2x+8y=1/2

Question 1008532: Determine whether the equation represents a circle, a point, or has no graph. If the equation is that of a circle, find its center and radius.
(2x^2)+(2y^2)-2x+8y=1/2

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the formula of the circle is:

where and are the and coordinates of the center of the circle

......both sides divide by

......complete square
....recall that = or
...so, in your case , and in part, and , and in part
then,
=> in part
and =>=>=> in part

so, we have

so, it is a circle and

the center is at:(,) and radius is

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