Let α, β be the roots of the equation x² - ax - b = 0 with Im(α)… | JEE Main 2025 Mathematics PYQ

NVAMediumJEE Main 2025 · 23 January, Shift 2Nature of Roots & Formation of Equations

Let $\alpha, \beta$ be the roots of the equation $x^2 - ax - b = 0$ with $Im(\alpha) < Im(\beta)$ . Let $P_n = \alpha^n - \beta^n$ . If $P_3 = -5\sqrt{7}\,i, \, P_4 = -3\sqrt{7}\,i, \, P_5 = 11\sqrt{7}\,i, \, P_6 = 45\sqrt{7}\,i$ , then $|\alpha^4 + \beta^4|$ is equal to:

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