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Quadratic Formula for Finding Roots

If α and β ar...

Question

If $α a n d β$ are the roots of the equation $x^{2} - x + 1 = 0 t h e n α^{2009} + β^{2009} =$

A

1

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B

2

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C

-1

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D

-2

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Solution

The correct option is A
1

$x = \frac{1 \pm i \sqrt{3}}{2} ∴ α = - ω, β = - ω^{2}$

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Quadratic Formula for Finding Roots

Standard XII Mathematics

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