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AP EAMCET20225 Jul 2022Evening ShiftMathematicsQuadratic EquationActual

The number of real values of m so that the equation x^2+(2 m+1) x+m=0 has equal roots is

Options

  1. A1
  2. B0
  3. C2
  4. D3

Correct answer

B. 0

Step-by-step solution

x^2+(2 m+1) x+m=0 For equal roots, aligned & D =0 & (2 m+1)^2-4 m=0 & 4 m^2+1+4 m-4 m=0 & 4 m^2+1=0 & m^2=-1 / 4 & m^2>0 aligned No real values of m exist.

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