Let α, β be the roots of the quadratic equation x² + √6x + 3 = 0.… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 12 April, Shift 1Quadratic Equations in Complex Numbers

Let $\alpha, \beta$ be the roots of the quadratic equation $x^2 + \sqrt{6}x + 3 = 0$ . Then, $\frac{\alpha^{23} + \beta^{23} + \alpha^{14} + \beta^{14}}{\alpha^{15} + \beta^{15} + \alpha^{10} + \beta^{10}}$ is equal to:

A
$729$
B
$72$
C
$81$
D
$9$

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