AP EAMCET · Maths · Quadratic Equation
If ' \(a\) ' is a rational number, then the roots of the equation \(x^2-3 a x+a^2-2 a-4=0\) are
- A rational and equal numbers
- B different real numbers
- C different rational numbers only
- D not real numbers
Answer & Solution
Correct Answer
(B) different real numbers
Step-by-step Solution
Detailed explanation
\(\begin{gathered} x^2-3 a x+a^2-2 a-4=0 \\ \mathrm{D}=9 a^2-4 a^2+8 a+16=5 a^2+8 a+16\gt0 \end{gathered}\) So, roots are real and distinct.
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