Question

Determine the nature of roots of the following equation from the discriminant:

$y^2-5y+11=0$

• A. Real and equal
• B. Real and unequal
• C. nonreal.
• D. None of these

Answer 1

The correct option is C nonreal.

Discriminant of the equation $y^2-5y+11=0$
$D=b^2-4ac$
$D=(-5{)}^2-4\times 1\times 11$
$=25-44$
$=-19$
Since, $D<0$ thus, roots are not real.