JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Let

\alpha \mathrm{ }\,\mathrm{and}\,\mathrm{ }\beta

be two roots of the equation

{x^2} + 2x + 2 = 0,

then

{\alpha ^{15}} + {\beta ^{15}}

is equal to

View answer and explanation

Correct option: C

-256

Option C (-256) is correct because it is the value of the expression

{\alpha ^{15}} + {\beta ^{15}}

where

\alpha

and

\beta

are the roots of the given quadratic equation.

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