分式方程怎样找最简公分母 试解：X²+2X分之3-x²-2X分之1=0

Answer 1

X²+2X分之3-x²-2X分之1是不是3/(X²+2X)-1/(X²-2X)?
3/(X²+2X)-1/(X²-2X)
=3/(x(x+2))-1/(x(x-2))
=(3(X-2)-(X+2))/(x(X+2)*(X-2))
=(2x-8)/(x(X+2)(X-2))=0
2x-8=0
x=4