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AP EAMCET202420 May 2024Evening ShiftMathematicsQuadratic EquationActual

If the roots of 1-y y + y 1-y = 5 2 are and ( ) and the equation ( + ) x^4-25 x^2+( + - )=0 has real roots, then a possible value of is

Options

  1. A1 2
  2. B4
  3. C2
  4. De+13

Correct answer

A. 1 2

Step-by-step solution

1-y y + y 1-y = 5 2 aligned & 1 y(1-y) = 5 2 y(1-y)= 4 25 & 25 y(1-y)=4 25 y^2-25 y+4=0 & + =1 & = 4 25 & - = 1- 16 25 = 3 5 & x^4-4 x^2+ ( 3 5 + )=0 & x^2= 4 16-4 ( 3 5 + ) 2 = 4 2 17 5 - 2 aligned aligned & 2+ 17 5 - 0 R & 2- 17 5 - 0 2 17 5 - & 4 17 5 - - 3 5 17 5 - 0 17 5 & ( -3 5 , 17 5 ) aligned

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