Solution
= Solution
Rationalize with the <complex conjugate> $4-3i$:
$$
\frac{5-2i}{4+3i}=\frac{(5-2i)(4-3i)}{4^2+3^2}
=\frac{14-23i}{25}.
$$
Thus the <real part> and <imaginary part> are
$$
\boxed{\operatorname{Re}=\frac{14}{25},\qquad\operatorname{Im}=-\frac{23}{25}}.
$$