SOLUTION: is 8(2xy+x-x^2)=4(2y^2-y)-100 a parabola, circle, ellipse, or hyperbola
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Question 1066181: is 8(2xy+x-x^2)=4(2y^2-y)-100 a parabola, circle, ellipse, or hyperbola
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
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The leading (highest degree terms) are
8x^2 - 16xy + 8y^2 + . . . = 8(x-y)^2 + . . .
After orthogonal transformation u = , v = you will get this curve in the form
v^2 + {lover degree terms} = 0,
which is a parabola.
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