7/(x^2+x)+4/(x^2-x)=6/(x^2-1)
问题描述:
7/(x^2+x)+4/(x^2-x)=6/(x^2-1)
答
原方程化为:7/x(x+1) + 4/x(x-1) = 6/(x+1)(x-1)方程两边乘以x(x+1)(x-1)得:7(x-1) +4(x+1)=6x∴7x-7+4x+4=6x11x-3=6x5x=3∴x=3/5检验:当x=3/5时,x(x+1)(x-1)≠0∴x=3/5 是原方程的解.【很高...