Question 77990
3x^2 + y^2 +18x - 2y + 4=0
Complete the square for the x-terms and for the y-terms separately.
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3(x^2+6x+9) + y^2-2y+1) = -4+27+1
3(x+3)^2 + (y-1)^2 = 24
Divide thru by 24 to get the form of a hyperbola.
[(x+3)^2]/8 + [(y-1)^2]/24 = 1
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Cheers,
Stan H.