分式方程解题过程当分式|x|-5/x^2-6x+5的值为零时,求x的值

(|x|-5)/(x^2-6x+5)
=(|x|-5)/[(x-1)(x-5)]
分式的值为0,则分子为0,分母不为0
|x|-5=0
x=±5
(x-1)(x-5)≠0
x≠1且x≠5
所以x=-5