For an integer n, the inequality x^2 + nx + 15 < -21 - 7x + x^2 has no real solutions in x. Find the number of different possible values of n.
x^2 + nx + 15 < -21 - 7x + x^2 simplify
(-7 -n) x > 36
x > 36 / - (7+n) {the denominator cannot = 0 }
This will have no real solutions when n = -7
+1859 
