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AP EAMCET20228 Jul 2022Evening ShiftMathematicsQuadratic EquationActual

If and are the roots of the equation 2 x^2+6 x+k=0 , then the maximum value of [ + ] when k < 0 is

Options

  1. A0
  2. B1
  3. C-1
  4. D-2

Correct answer

D. -2

Step-by-step solution

Given, and are the roots of 2 x^2+6 x+k=0 + =- 6 2 =-3 and = k 2 Now, + = ^2+ ^2 = ( + )^2-2 + = 2(9-k) k = 18 k -2 k < 0 ( 18 k -2 ) < 0, k < 0 Thus, [ + ]_ = [ 18 k -2 ]= [ 18 k ]-2=-2 where, [ 18 k ]=0 for k < -18

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