$\displaystyle z=1+2i, w=2-i, \zeta=4+3i$

(1) Use the quadratic formula to solve these equations; express the answers as complex numbers.

(a) $\displaystyle z^2+36=0$

(b) $\displaystyle 2z^2+2z+5=0$

I have more of these but I will try them on my own after I receive help on these.

The number x is called the real part of z and is writtern x = Re z. The number y, despite the fact that it is also a real number, is called the imaginary part of z and is writter y = Im z.

(2) Find Re(1/z) and Im(1/z) if z= x + iy, z$\displaystyle \not=0$. Show that Re(iz)= -Im z and Im(iz) = Re z.

If further explanation is needed, please let me know. Thanks for the help!