Number of integral roots of |x−1|x2−2=2 is

We have |x−1|x2−2=2Since x is an integer, we have|x−1|=1 and x2−2=2or |x−1|=2 and x2−2=1∴ x=0,2 and x=0,±2or x=−1,3 and x=±1Therefore, solutions are -1, 0,2