5/(x^2-x-6) - 6/(x^2-4)=4/(x^2-5x+6)_数学解答

5/(x^2-x-6) - 6/(x^2-4)=4/(x^2-5x+6)

人气：262 ℃　时间：2020-04-25 06:33:18

解答

5/(x-3)(x+2) -6/(x+2)(x-2)=4/(x-2)(x-3)
两边乘以(x-3)(x+2)(x-2)得
5(x-2)-6(x-3)=4(x+2)
5x-10-6x+18=4x+8
-5x=20
x=-4
检验：x=-4是方程的解