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NDA2015MathematicsQuadratic EquationActual

If the roots of the equation x ^2- nx + m =0 differ by 1 , then

Options

  1. An ^2-4 ~m -1=0
  2. Bn ^2+4 ~m -1=0
  3. Cm ^2+4 n +1=0
  4. Dm ^2-4 n -1=0

Correct answer

A. n ^2-4 ~m -1=0

Step-by-step solution

Let the root be and array ll & x ^2- nx + m =0 & + = n ; = m & - =1 & ( + )^2=( - )^2+4 & n ^2=1+4 ~m & n ^2-4 ~m -1=0 array

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