Let α and β be the roots of x² + √3x - 16 = 0, and γ and δ be the… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 3 April, Shift 1Nature of Roots & Formation of Equations

Let $\alpha$ and $\beta$ be the roots of $x^2 + \sqrt{3}x - 16 = 0$ , and $\gamma$ and $\delta$ be the roots of $x^2 + 3x - 1 = 0$ . If $P_n = \alpha^n + \beta^n$ and $Q_n = \gamma^n + \delta^n$ , then $\frac{P_{25} + \sqrt{3}P_{24}}{2P_{23}} + \frac{Q_{25} - Q_{23}}{Q_{24}}$ is equal to

A
$3$
B
$4$
C
$5$
D
$7$

Answer & step-by-step solution

Practice more Nature of Roots & Formation of Equations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Nature of Roots & Formation of Equations

Answer & step-by-step solution

Practice more Nature of Roots & Formation of Equations questions

Related questions