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AP EAMCET202422 May 2024Evening ShiftMathematicsQuadratic EquationActual

If ' a ' is a rational number, then the roots of the equation x^2-3 a x+a^2-2 a-4=0 are

Options

  1. Arational and equal numbers
  2. Bdifferent real numbers
  3. Cdifferent rational numbers only
  4. Dnot real numbers

Correct answer

B. different real numbers

Step-by-step solution

gathered x^2-3 a x+a^2-2 a-4=0 D =9 a^2-4 a^2+8 a+16=5 a^2+8 a+16 0 gathered So, roots are real and distinct.

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