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Question

What curve (or curves) does the equation x25xy+4y2=0 represent ?

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Solution

let solve the equation first,
x25xy+4y2=0
x24xyxy+4y2=0
x(x4y)y(x4y)=0
(xy)(x4y)=0
x=y
x=4y
there are two linear equation formed by the equation
so these two lines or curves represent the
eqautaion x25xy+4y2=0

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