SOLUTION: does this equation describe an ellipse? 5y^2-18x+7=20y+3x^2-16
this is what I did
-3(x^2+6x+9) + 5(y^2-4y+4)=-23+20+(-27)
-3(x+3)^2/-30 + 5(y-2)^2/-30=-30/-30
(x+3)^2/
Algebra.Com
Question 69661: does this equation describe an ellipse? 5y^2-18x+7=20y+3x^2-16
this is what I did
-3(x^2+6x+9) + 5(y^2-4y+4)=-23+20+(-27)
-3(x+3)^2/-30 + 5(y-2)^2/-30=-30/-30
(x+3)^2/-10 + (y-2)^2/-6=1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
does this equation describe an ellipse? 5y^2-18x+7=20y+3x^2-16
-------------
You can tell it is not an ellipse because the x^2 and the y^2
terms are of different sign if you put them on the same side
of the equation.
It is the equation of a hyperbola.
Cheers,
Stan H.
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