Question

If x = 1 is a root of ax²+bx+c=0, a=0, a, b, C ∈ R, prove that a+b+c=0.

Answer 1

Answer :

Since x = 1 is a root of ax² + bx + c = 0, x = 1 satisfies the equation.

Thus,

a (1)² + b (1) + c = 0

∴ a + b + c = 0

Hence, proved.

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