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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1
If 2α=−1−i32\alpha = - 1 - i\sqrt 3 and 2β=−1+i32\beta = - 1 + i\sqrt 3, then 5α4+5β4+7α−1β−15{\alpha ^4} + 5{\beta ^4} + 7{\alpha ^{ - 1}}{\beta ^{ - 1}} is equal to
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Correct option: D
2
Option D (2) is correct because, after substituting the given values of α\alpha and β\beta and simplifying, the expression evaluates to 2.

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