Please help!

I choose a random integer n between 1 and 10 inclusive. What is the probability that for the n I chose, there exist no real solutions to the equation x(x+5)=-n? Express your answer as a common fraction.

The values of n where the quadratic has no real root are 5, 6, 7, 8, 9, 10, so the probability is 6/10 = 3/5.