JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

Let

\alpha, \beta

be the roots of the equation

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

then

\alpha^{16}+\beta^{16}=

View answer and explanation

Correct option: B

-256

Option B (-256) is correct because the roots are complex numbers, and raising them to the 16th power simplifies to a real number.

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