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AP EAMCET202422 May 2024Morning ShiftMathematicsQuadratic EquationActual

If , are the roots of the equation x^2-6 x-2=0 , and a_ n = ^ n - ^ n , n 1 , then the value of a₁₀-2 a₈ 2 a₉ is equal to

Options

  1. A6
  2. B4
  3. C3
  4. D2

Correct answer

C. 3

Step-by-step solution

aligned & ^2-6 -2=0 ¹⁰-2 ^8=6 ^9 ....(i) & ^2-6 -2=0 ¹⁰-2 ^8=6 ^9 .....(ii) aligned aligned & (i) -( ii) & ¹⁰- ¹⁰-2 ( ^8- ^8 )=6 ( ^9- ^9 ) & a₁₀-2 a₈=6 a₉ a₁₀-2 a₈ 2 a₉ =3 . aligned

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