question_answer

If \[a\in [-20,0]\] , then the probability that the equation \[16{{x}^{2}}+8\,\,(a+5)\,\,x-7a-5=0\] has imaginary roots is ______.

A)  \[\frac{13}{20}\]          

B)  \[\frac{15}{22}\]

C)  \[\frac{7}{20}\]                        

D)  \[\frac{13}{22}\]

E)  None of these