question_answer

Find the value of m if the equation \[3{{p}^{2}}-2p+m=0\]and \[\mathbf{6}{{\mathbf{p}}^{\mathbf{2}}}-\mathbf{17p}+\mathbf{12}=\mathbf{0}\] have a common root.

A) \[\frac{-8}{3},\frac{-15}{4}\]   

B) \[\frac{-3}{5},\frac{-15}{7}\]    

C) \[\frac{-7}{3},\frac{-12}{5}\]                                                     

D) \[\frac{-5}{3},\frac{7}{3}\]

E) None of these