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Question: If α, β are non-real roots of ax<sup>2</sup> + bx + c = 0 (a, b, c ∈ R), then-...

If α, β are non-real roots of ax2 + bx + c = 0 (a, b, c ∈ R), then-

A

α = β

B

αβ = 1

C

α = βˉ\bar{\beta}

D

αβˉ\bar{\beta}= 1

Answer

α = βˉ\bar{\beta}

Explanation

Solution

Since a, b, c ∈ R, the non real roots, α and β must be complex conjugate.