You can put this solution on YOUR website! solve and graph 5x^2-9y^2-30x-18y=9
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Complete the square on the the x-terms and on the y-terms.
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5(x^2-6x+9) - 9(y^2+2y+1) = 9 + 45 -9
(x-3)^2/9 - (y+1)^2/5 = 1
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This graphs as a hyperbola with center at (3,-1)
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Comment: Since a hyperbola is not a function this cannot
be graphed on this site.
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Cheers,
Stan H.