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AP EAMCET202318 May 2023Evening ShiftMathematicsQuadratic EquationActual

The sum of the fourth powers of the roots of the equation 16 x ^2-10 x +1=0 is

Options

  1. A257 4096
  2. B257 2048
  3. C257 1024
  4. D257 512

Correct answer

A. 257 4096

Step-by-step solution

aligned & 16 x ^2-10 x +1=0 & 16 x ^2-8 x -2 x +1=0 & (2 x -1)(8 x -1)=0 & x = 1 2 , 1 8 & ( ( 1 2 )^4+ ( 1 8 )^4 )= 1 16 + 1 4096 = 257 4096 aligned

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