Question

Determine the nature of the roots of the given quadratic equation
$x^2+x+1=0$

Answer 1

The given equation is $x^2+x+1=0$

here, $a=1,b=1,c=1$

$\therefore D=b^2-4ac=1^2-4\times 1\times 1=-3$

Since $D<0$, the roots of the given equation are not real.