The probability of selecting integers $a \in[-5,30]$ such that $x^2+2(a+4) x-5 a+640$, for all $x \in R$ is:

Question

The probability of selecting integers $a \in[-5,30]$ such that $x^2+2(a+4) x-5 a+64>0$, for all $x \in R$ is:

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The probability of selecting integers \(a \in[-5,30]\) such that \(x^2+2(a+4) x-5 a+64>0\), for all \(x \in R\) is: