Question

find all complex numbers z satisfying:

Answer 1

\[(2z+1+\sqrt{3}/2z+1-\sqrt{3})^{3}+(2z+1+\sqrt{3}/2z+1-\sqrt{3})^{2}+
(2z+1+\sqrt{3}/2z+1-\sqrt{3})\]

Answer 2

\[(2z+1+\sqrt{3}/2z+1-\sqrt{3})\] < part that was cut off

Answer 3

Satisfying what exactly? That's just an expression!

Answer 4

Does all that equal to 0, for example?

Answer 5

sorry! there should be a +1 added to the end as well, and equals 0. apologies!

Answer 6

So the equation is
\[\small (\frac{2z+1+\sqrt{3}}{2z+1-\sqrt{3}})^3+(\frac{2z+1+\sqrt{3}}{2z+1-\sqrt{3}})^2+(\frac{2z+1+\sqrt{3}}{2z+1-\sqrt{3}})+a+1=0?\]

Answer 7

yes thats it

Answer 8

i wasn't able to write it all out for some reason it messed up!

Answer 9

without the a, thats not involved... that was just me saying there is +1 at the end