Take the last four digits ABCD of your student identification number, and let z 1 = A + Bi and z 2 = C + Di be the corresponding complex numbers obtained as indicated. Find the complex number z = p +...

Take the last four digits
ABCD
of your student identification number, and
let z₁=
A + Bi
and z₂
=
C + Di
be the corresponding complex numbers
obtained as indicated. Find the complex number
z = p + qi
such that

(1/z)=(1/z₁)+(1/z₂）

In the second problem you should compute
p
and
q
explicitly to four significant digits.

My last four digits: 0564