Given that $2-3i$ is a root of the quadratic equation $x^2+ax+b=0$, find the values of $a$ and

Question

Given that $2-3i$ is a root of the quadratic equation $x^2+ax+b=0$, find the values of $a$ and $b$, where $a,\ b\in\mathbb{R}$.

Accepted Answer

$a=-4,\ b=13$