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NDA2013MathematicsQuadratic EquationActual

If , are the roots of the equation x^2+x+2=0 , then what is ¹⁰+ ¹⁰ ⁻¹⁰+ ⁻¹⁰ equal to?

Options

  1. A4096
  2. B2048
  3. C1024
  4. D512

Correct answer

C. 1024

Step-by-step solution

From given equation, + =-1 and =2 ¹⁰+ ¹⁰ ⁻¹⁰+ ⁻¹⁰ = ¹⁰+ ¹⁰ ¹⁰+ ¹⁰ ( )¹⁰ =( )¹⁰=(2)¹⁰=1024

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