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AP EAMCET202317 May 2023Morning ShiftMathematicsQuadratic EquationActual

If , , are the roots of x^3+2 x+5=0 , then + ^2 =

Options

  1. A- 2 5
  2. B1 5
  3. C2 5
  4. D- 3 5

Correct answer

C. 2 5

Step-by-step solution

aligned & x^3+2 x+5=0 & + + =0 & + + =2 & =-5 & + ^2 = + ^2 + + ^2 + + ^2 & = + + ^2 - 1 + + + ^2 - 1 + + + ^2 - 1 & = + + [ 1 ^2 + 1 ^2 + 1 ^2 ]- [ 1 + 1 + 1 ] & =( + + ) [ ^2 ^2+ ^2 ^2+ ^2 ^2 ^2 ^2 ^2 ]- + + & =0 [ ^2 ^2+ ^2 ^2+ ^2 ^2 ^2 ^2 ^2 ]- 2 -5 = 2 5 aligned

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