You can put this solution on YOUR website! complete the square.
2x^2+2y^2-2x-2y-3=0
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x^2 -x + y^2 -y = 3/2
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Complete the square:
x^2 -x + (1/2)^2 + y^2 -y + (1/2)^2 = 3/2 + 1/2
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Factor:
(x-(1/2))^2 + (y-(1/2))^2 = 2
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Circle with center at (1/2,1/2) and radius = sqrt(2)
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Cheers,
Stan H.