x^2+x/5+x^2-x/2=x^2-1/6解方程

你分子分母写反了吧,/相当于除号,/的右边才是分母.
题目是5/(x²+x)+2/(x²-x)=6/(x²-1)吧
5/(x²+x)+2/(x²-x)=6/(x²-1)
5/x(x+1)+2/x(x-1)=6/(x+1)(x-1)
乘以x(x+1)(x-1)得
5(x-1)+2(x+1)=6x
5x-5+2x+2=6x
7x-6x=5-2
x=3
经检验,x=3是原方程的解