Question

Solve the equation $x^2+3=0$

Answer 1

The given quadratic equation is $x^2+3=0$
On comparing the given equation with ${ax}^2+bx+c=0$,
we get $a=1,b=0,$ and $c=3$
Therefore, the discriminant of the given equation is
$D=b^2-4ac=0^2-4\times 1\times 3=-12$
Therefore, the required solutions are
$\frac{-b\pm \sqrt{D}}{2a}=\frac{\pm \sqrt{-12}}{2\times 1}=\frac{\pm \sqrt{12}i}{2}$
$=\frac{\pm 2\sqrt{3}i}{2}=\pm \sqrt{3}i$