Question

( b-c) x2 + ( c-a)x + (a-b) then prove them 2b = a+c

Answer 1

b2=4ac
(c-a)2=4(b-c)(a-b)
c2+a2-2ac=4(ab-b2-ac+bc)
c2+a2-2ac-4ab+4b2+4ac-4bc
c2+a2+4b2+2ac-4ab-4bc
c2+a2+4b2+2×a×c+2(-2b)a+2×(-2b)c
(c+a-2b)^2=0
c+a=2b
hence proved