Question

Medal and Fan! Need help with imaginary numbers again

Answer 1

z= a + 2i and complex conjugate of z= a -2i
find the values for which z divided by complex conjugate of z is imaginary

Answer 2

@dumbcow

Answer 3

\[\frac{a+2i}{a-2i} \rightarrow \frac{a+2i}{a-2i}*\frac{a+2i}{a+2i} = \frac{a^2 +4ai +4i^2}{a^2 -4i^2}\]
simplify
\[\frac{a^2 +4ai -4}{a^2+4}\]
wait not sure what they want here...

Answer 4

find values for "a" so that fraction is imaginary?