Find the nature of roots for
(x-a)(x-b) + (x-c)(x-a) + (x-b)(x-c) = 0
I started solving the above equation.
This was deduced to
3x2 – 2(a + b+c)x +(ab+bc+ca) =0
from this, the discreminant
4(a + b+c)2 -4(3)( ab+bc+ca)
From this I am not able to say what type are the roots.
Kindly guide me.