Question

If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.

Answer 1

x = 2 is a root of given equation substitute x = 2 in L.H.S.

Similarly when x =2 is root of given equation substitute x = 3 in L.H.S

On solving equation (i) and (ii), we get

k = 15/2 and m = 9.