If each pair of the following three equations :
X2+a1x+b1=0, x2+a2x+b2=0, x2+a3x+b3=0 hav exactly one root in comman , then show that
(a1+a2+a3) 2 = 4(a2a3+a3a1+a1a2-b1-b2-b3)
If each pair of the following three equations :
X2+a1x+b1=0, x2+a2x+b2=0, x2+a3x+b3=0 hav exactly one root in comman , then show that
(a1+a2+a3) 2 = 4(a2a3+a3a1+a1a2-b1-b2-b3)