JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

Let

\alpha, \beta

be the roots of the equation

x^{2}-\sqrt{2} x+2=0

. Then

\alpha^{14}+\beta^{14}

is equal to

View answer and explanation

Correct option: C

-128

Option C (-128) is correct because after finding the roots in polar form and raising them to the power of 14, the sum simplifies to -128.

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