SOLUTION: How to solve this Polynomial Equation in the complex plane {{{(5-i)z^2+i^2z+i=0; i^2=-1}}} Its only 2de degree but it gives me so much trouble... It took me 2 pages, but the

Algebra ->  Systems-of-equations -> SOLUTION: How to solve this Polynomial Equation in the complex plane {{{(5-i)z^2+i^2z+i=0; i^2=-1}}} Its only 2de degree but it gives me so much trouble... It took me 2 pages, but the      Log On


   



Question 909202: How to solve this Polynomial Equation in the complex plane
%285-i%29z%5E2%2Bi%5E2z%2Bi=0%3B++i%5E2=-1
Its only 2de degree but it gives me so much trouble... It took me 2 pages, but there must be an easier way.
Ty for your time!

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(5-i)z^2+i^2z+i=0; i^2=-1
z = (-1/52+(5 i)/52) (sqrt(3+20 i)-i)
z = (1/52-(5 i)/52) (i+sqrt(3+20 i))