(a-d)x^+(b-c)x+(c-a)=0 prove that 2a=b+c
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ques wrong not (a-d)x^+(b-c)x+(c-a)=0 prove that 2a=b+c
it is (a-b)x^+(b-c)x+(c-a)=0 prove that 2a=b+c
let b^2-4ac=0
(b-c)^2-4(a-b)(c-a)=0
b^2+c^2-2bc-4(-a^2-bc+ab+ac)=0
b^2+c^2-2bc+4a^2+4bc-4ab-4ac=0
4a^2+b^2+c^2+2bc-4ab-abc=0
then
(2a-b-c)^2=0
2a-b-c=0
2a=b+c
hp
it is (a-b)x^+(b-c)x+(c-a)=0 prove that 2a=b+c
let b^2-4ac=0
(b-c)^2-4(a-b)(c-a)=0
b^2+c^2-2bc-4(-a^2-bc+ab+ac)=0
b^2+c^2-2bc+4a^2+4bc-4ab-4ac=0
4a^2+b^2+c^2+2bc-4ab-abc=0
then
(2a-b-c)^2=0
2a-b-c=0
2a=b+c
hp
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