2道分式方程,x平方-1分之4 + 1-x分之x+2=-1x+2分之3 + x分之1=x平方+2x分之4

Question

2道分式方程,
x平方-1分之4 + 1-x分之x+2=-1
x+2分之3 + x分之1=x平方+2x分之4

Answer 1

4/(x²-1)+(x+2)/(1-x)=-1
两边同乘以x²-1
4-(x+2)(x+1)=-(x²-1)
x=1/3
3/(x+2)+1/x=4/(x²+2x)
两边同乘以 x(x+2)
3x+(x+2)=4
x=1/2