Write a quadratic equation, sum of whose roots is $2\sqrt{3}$ and their product is $3$.

Write the condition to be satisfied for which equations $a{x}^2+2bx+c=0$ and $b{x}^2-2\sqrt{ac}x+b=0$ have equal roots.

Each quadratic equation has two roots.

Each quadratic equation has atleast two roots.

Each quadratic equation has at most two roots.

A quadratic equation with integral coefficients has integral roots.

A quadratic equation with rational coefficient cannot have irrational roots.

The quantity $b^2-4ac$ for a quadratic equation $a{x}^2+bx+c=0$ is called its discriminant.

$0.2$ is a root of the equation $x^2-0.4=0$.