Question

QmmmIf the roots of the quadratic equation (a - b) x + (b-C) x + (c- a) = 0 are equal,
prove that 2a = b + c​

Answer 1

Answer:

As we know product of zeros=constant term/coefficient of x2 =C/A

C=(c-a) ,A=(a-b)

C/A=1 (1satisfies the equation by putting 1we get 0)

c-a/a-b=1

c-a=a-b

so. 2a=b+c