解方程5/(x²-1)-4/(x²+2x-3)=2/(x²+4x+3)
问题描述:
解方程5/(x²-1)-4/(x²+2x-3)=2/(x²+4x+3)
答
5/(x²-1)-4/(x²+2x-3)=2/(x²+4x+3)
5/(x+1)(x-1)-4/(x-1)(x+3)=2/(x+1)(x+3)
两边乘以(x+1)(x-1)(x+3),得
5(x+3)-4(x+1)=2(x-1)
5x+15-4x-4=2x-2
x+11=2x-2
-x=-13
x=13