Solve the following equation completely.

$\displaystyle {x}^{{4}}-{4}{x}^{{3}}+{9}{x}^{{2}}+{16}{x}-{52}={0}$

The real solutions are $\displaystyle {x}=$
The non-real ($\displaystyle {a}+{b}{i}$) solutions are $\displaystyle {x}=$