解分式方程,化简1.1/X-2=3/X2.X^-6X+9/9-X^2÷2X-6/X^2+3X

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解分式方程,化简1.1/X-2=3/X2.X^-6X+9/9-X^2÷2X-6/X^2+3X
解分式方程,化简
1.
1/X-2=3/X
2.
X^-6X+9/9-X^2÷2X-6/X^2+3X

解分式方程,化简1.1/X-2=3/X2.X^-6X+9/9-X^2÷2X-6/X^2+3X
1.
两边乘X(X-2)
X=3(X-2)
X=3X-6
X=3
分式方程要检验
经检验,X=3是方程的解
2.
原式=[-(X-3)²/(X+3)(X-3)]÷[2(X-3)/X(X+3)]
=[-(X-3)²/(X+3)(X-3)]×[X(X+3)/2(X-3)]
=-X(X+3)(X-3)²/[(X+3)(X-3)2(X-3)]
=-X/2

1.
1/X-2=3/X
-2=2/X
X=-1
2.
X^2-6X+9/9-X^2÷2X-6/X^2+3X
=(X-3)²/(3+X)(3-X) ÷2(X-3)/X(X+3)
=(3-X)/(3+X)×X(X+3)/2(X-3)
=-X/2

1/X-2=3/X
3(X-2)=X
3X-6=X
2X=6
X=3
X^-6X+9/9-X^2÷2X-6/X^2+3X
=(X-3)^2/(X+3)(3-X)÷2(X-3)/(X+3)X
=(3-X)/(X+3)*(X+3)X/2(X-3)
=X/(-2)
=-X/2