Probablgebra!!

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

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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