SOLUTION: Find a complex number z satisfying the given equation z^2 = i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find a complex number z satisfying the given equation z^2 = i      Log On


   

Question 785008: Find a complex number z satisfying the given equation
z^2 = i
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
z%5E2+=+i
z%5E2+-+sqrt%28-1%29+=0
z%5E2-root%284%2C-1%29%5E2=0
%28z%2Broot%284%2C-1%29%29%28z-root%284%2C-1%29%29=0
solutions:
z=root%284%2C-1%29
or
z=-root%284%2C-1%29