If sum of the roots is $2$ and product is $5$, then the quadratic equation is

Given the sum of the roots is 2 and the product of the roots is 5.
Therefore, the quadratic equation is given by $x^2-$ (Sum of the roots)$x+$ (Product of the roots) $=0$.
$\therefore x^2-2x+5=0$ is the quadratic equation.