Let α, β be the roots of the equation x² - √2 x + 2 = 0. Then α¹⁴… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 13 April, Shift 2Nature of Roots & Formation of Equations

Let $\alpha, \beta$ be the roots of the equation $x^2 - \sqrt{2}\,x + 2 = 0$ . Then $\alpha^{14} + \beta^{14}$ is equal to:

A
$-128\sqrt{2}$
B
$-64\sqrt{2}$
C
$-128$
D
$-64$

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