For how many different negative values of x is $\sqrt{x +150}$ a positive integer?
Hint: how many perfect squares are there between 0 and 150?
12 perfect squares
a=-149;c=2#(a+150);printc, a; a++;if(a<100, goto1, 0) OUTPUT: -149, -146, -141, -134, -125, -114, -101, -86, -69, -50, -29, -6 = 12 negative values.