Question

Find the complex number u=x+yi where x,y € I, such that u^2=-5+12i. HELPPPPPPP!
Scott
(x + yi)^2 = x^2 + 2xyi - y^2

x^2 - y^2 = -5

x y = 6

i would suggest a graphical solution
... try fooplot

u = 2 + 3i