SOLUTION: For how many integers b does the inequality z^2 + bz + 15 < 0 have no real solutions z?

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Question 1030084: For how many integers b does the inequality z^2 + bz + 15 < 0 have no real solutions z?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You want the discriminant to be negative or zero so that the graph of z^2 + bz + 15 lies completely above the z-axis (i.e. is always non-negative).

Therefore we want or . This works for or 15 integers.