初二代数题解方程:x/(x^2-
x/(x^2-x)-(1-x^2)/(x^2-5x+6)=2x/(x-3)
解: 1-x^2-x/-6x+6=2x/x-3
-6x+6×1-x^2-x/-6x+6=2x/x-3×-6x+6
1-x^2-x=2x(-6x+6)/x-3
1-x^2-x=-12x^2+12x/x-3
(x-3)×(1-x^-x)=-12x^+12x/x-3×x-3
(x-3)-x^2(x-3)-x(x-3)=-12x^2+2x
(x-3)-(x^3-3x^2)-(x^2-3x)=-12x^2+2x
x-3-x^3=3x^2-x^2+3x=-12x^2+2x
-x^3+2x^2+4x=-12x^2+2x+3
...全部
x/(x^2-x)-(1-x^2)/(x^2-5x+6)=2x/(x-3)
解: 1-x^2-x/-6x+6=2x/x-3
-6x+6×1-x^2-x/-6x+6=2x/x-3×-6x+6
1-x^2-x=2x(-6x+6)/x-3
1-x^2-x=-12x^2+12x/x-3
(x-3)×(1-x^-x)=-12x^+12x/x-3×x-3
(x-3)-x^2(x-3)-x(x-3)=-12x^2+2x
(x-3)-(x^3-3x^2)-(x^2-3x)=-12x^2+2x
x-3-x^3=3x^2-x^2+3x=-12x^2+2x
-x^3+2x^2+4x=-12x^2+2x+3
-x^3+2x^2-12x^2+4x-2x=3
-x^3-10x^2+2x=3
-x^3-10x^2+2x-3=0。
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