解分式方程,化简

题目

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

答案

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