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Properties of nth Root of a Complex Number

If α ,β are...

Question

If $α, β$ are the roots of $a x^{2} + b x + c = 0$ then ${(α + β)}^{2} =$

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Solution

$α, β$ are roots of $a x^{2} + b x + c = 0$
$⟹ α + β = \frac{- b}{a} (α + β)^{2} = \frac{b^{2}}{a^{2}}$

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Properties of nth Root of a Complex Number

Standard XI Mathematics

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