For how many real values of x is sqrt(120 - sqrt(x^2)) an integer?
sqrt (120 - sqrt (x^2))
x integer
20 10
39 9
56 8
71 7
84 6
95 5
104 4
111 3
116 2
119 1
120 0
... sqrt(120 - sqrt(x^2)) ...
I don't know if you noticed it or not, but the square root of x squared is just +x.
So that could be rewritten as sqrt(120 + x)
