If 3x2+2αxy+2y2+2ax-4y+1 can be resolved into two linear factors, prove that α is the root of the equation x2+ 4ax+2a2+6=0.
please don't solve the problem
just hint is expected.
after arranging the original eq. with respect to x
i got this (...)x2 +(...)x+c
by finding its discriminant and equating it to zero
on solving i got
after equating what should i do???