question_answer

If x=2 and x=3 are roots of the equation\[3{{x}^{2}}-2kx+2m=0\], find the value of K and m.

A) \[m=\frac{15}{2}\ \ and\ \ k=9\]

B) \[m=\frac{7}{3}\ \ and\ \ k=\frac{15}{2}\]

C) \[m=9\ \ and\ \ k=\frac{15}{2}\]

D) \[m=7\ \ and\ \ k=3\]

E) None of these