Question

Find a quadratic equation with real co-efficient whose one root is $3-2i$.

Answer 1

As we seek a quadratic equation with real co-efficient whose one root is $3-2i$ then the other root is $3+2i$.

Then the quadratic equation is

$x^2-\left\{\right(3+2i)+(3-2i\left)\right\}x+(3+2i)(3-2i)=0$

or, $x^2-6x+13=0$.