For an integer $n$, the inequality
\[x^2 + nx + 15 < 0\]has no real solutions in $x$. Find the number of different possible values of $n$.

There are 15 different possible values of n:

{-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}

Step-by-step explanation:

The given inequality is

For to have no solution, the discriminant must be less than zero.

This means that:

This implies that:

The integer values are , {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}

black lol

step-by-step explanation:

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step-by-step explanation: