Question

解方程(x-1)的平方-5乘以x-1的绝对值-6=0

Answer 1

(x-1)²=|x-1|²

(x-1)²-5|x-1|-6=0

(|x-1|-6)(|x-1|+1)=0

∴|x-1|=6 或|x-1|=-1（舍去)

∴x=7或x=-5