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AP EAMCET201923 Apr 2019Morning ShiftMathematicsQuadratic EquationActual

If the product of the roots of the equation (x^2+4 k x+12 e^ 3 k -1=0,(k>0) ) is 323 , then the sum of its roots is

Options

  1. A(9 k )
  2. B12
  3. C-12
  4. D(-16 k )

Correct answer

C. -12

Step-by-step solution

Given quadratic equation is (x^2+4 k x+12 e^ 3 k -1=0 ) According to given information , Product of the roots (=323 ) ( aligned & 12 e^ 3 k -1=323 & 12 k^3=324 k^3=27 k=3 aligned ) So, sum of roots (=-4 k=-12 ) Hence, option (c) is correct.

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