Question

解方程：（7/x²+x）+（1/x²-x）=（6/x²-1）.

Answer 1

7/(x²+x) + 1/(x²-x) = 6/(x²-1)

方程两边同时乘以x(x+1)(x-1)：7(x-1) + (x+1) = 6x

解得：x = 3

x = 3时：x(x+1)(x-1) ≠ 0

x = 3是原方程的根