Question

The quadratic equation $n^2–an–5=0$ has (where a is a real number)

• A. No real root
• B. Two distinct real roots
• C. Two equal roots
• D. Three real roots

Answer 1

The correct option is B Two distinct real roots

Consider the quadratic equation, $n^2–an–5=0$.
Now, discriminant, $D=(-a{)}^2-4\times 1\times (-5)$
$=a^2+20>0$ $\because (a\in R)$
Therefore, the given equation has two distinct real roots.
Hence, the correct answer is option (2).