# Probablgebra!!

Discrete Mathematics Level 3

$x^{2}+px+\frac{(p+2)}{4} = 0$

If $$p$$ is chosen at random in the closed interval $$[0,5]$$, the probability that the above equation has real roots can be written as $$\frac{ A } { B }$$ where $$A$$ and $$B$$ are coprime positive integers. Find $$A + B$$.

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