question_answer

If \[-\,5\] is a root of the quadratic equation \[2{{x}^{2}}+px-15=0\] and the quadratic equation \[p\,({{x}^{2}}+x)+k=0\] has equal roots, find the value of k.

A)  \[\frac{3}{5}\]                         

B)  \[\frac{7}{4}\]

C)  \[\frac{5}{3}\]                         

D)  \[\frac{-\,7}{4}\]

E)  None of these