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AP EAMCET201825 Apr 2018Morning ShiftMathematicsQuadratic EquationActual

If a , b and c are the roots of x 3 + 4 x + 1 = 0 , then 1 a + b + 1 b + c + 1 c + a =

Options

  1. A2
  2. B3
  3. C4
  4. D- 4

Correct answer

C. 4

Step-by-step solution

Given, x 3 + 4 x + 1 = 0 a , b   &   c are the roots of the given equation therefore a + b + c = 0     . . . i a b + b c + c a = 4     . . . i i a b c = - 1     . . . i i i From the equation i , we have a + b = - c ,   b + c = - a   &   c + a = - b Now, 1 a + b + 1 b + c + 1 c + a = - 1 c + - 1 a + - 1 b = - a b + b c + c a a b c = 4 .

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