sorry Guys but my math teachers gave 30 problems For us he thinks that i don't have only Math to do it , i don't have a lot of times i'll wake up today to study lol.

anyway i stopped in 3 question - Hard For me

z is a complex number, prove if

{1 - iz

-------} = 1, then z is real

1 + iz

my second question:

that is to say A and B are two points of the plan of respective affixes zA, zB

will

a.Prove that [zA-ZB] = AB

B. find all the numbers complexes z such as the triangle whose tops are the images of 1, Z, z^2 is equilateral

and my last question:

Z and z' are two complex numbers unspecified.

Show that [z+z'] ^2 + {z-z'] ^2 = 2 {[Z} 2 + {z'} ^2}

P.s: i don't know how to write them so [ ] =

Many Thanks Guys