Question

若x-5x-6分之|x|-6的值为零,则x的值为

Answer 1

(|x|-6)/(x²-5x-6)=0 /估计是你抄错题了,x-5x-6应该是x²-5x-6

去分母,等式两边同乘以x²-5x-6

|x|-6=0

|x|=6

x=6或x=-6,代入分式方程检验,x=6时,x²-5x-6=0,分式无意义,x=6是方程的增根.

综上,得x=-6