Question

Find the discriminant for the following quadratic equation. Also, determine the nature of roots.
$x^2+x+1=0$

• A. D < 0; Roots are not real
• B. D < 0; Roots are real
• C. D > 0; Roots are not real
• D. D > 0; Roots are real

Answer 1

The correct option is A D < 0; Roots are not real

We have,
$x^2+x+1=0$
Comparing with $a{x}^2+bx+c=0,$ we get,
a = 1, b = -1, c = 1
Discriminant, $D=b^2-4ac=1-4=-3<0$
$\Rightarrow D<0$
So, roots are not real.
Hence, a is the correct option.