Let be the roots of the equation

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let α,β\alpha, \beta be the roots of the equation x2+22x−1=0x^2 + 2\sqrt{2}x - 1 = 0 . The quadratic equation, whose roots are α4+β4\alpha^4 + \beta^4 and 110(α6+β6)\frac{1}{10}(\alpha^6 + \beta^6), is: (A) x2−190x+9466=0x^2 - 190x + 9466 = 0 (B) x2−195x+9466=0x^2 - 195x + 9466 = 0 (C) x2−195x+9506=0x^2 - 195x + 9506 = 0 (D) x2−180x+9506=0x^2 - 180x + 9506 = 0

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