已知方程3(X-Y)^2-5X-2=2X-7Y-4.求X-Y的值

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已知方程3(X-Y)^2-5X-2=2X-7Y-4.求X-Y的值
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已知方程3(X-Y)^2-5X-2=2X-7Y-4.求X-Y的值
已知方程3(X-Y)^2-5X-2=2X-7Y-4.求X-Y的值

已知方程3(X-Y)^2-5X-2=2X-7Y-4.求X-Y的值
方程整理得:3(X-Y)^2-7(X-Y)+2=0
即(X-Y-2)[3(X-Y)-1]=0
所以X-Y=2或X-Y=1/3

设x-y=z.
则方程变为 3z^2-7z+2=0
z=2或-1/3
x-y=2或-1/3

3(x-y)^2-2=5x-5y+2x-2y-4
3(x-y)^2-2=5(x-y)+2(x-y)-4
3(x-y)^2-7(x-y)+2=0
x-y=1/3或2