You can put this solution on YOUR website! Since 1 + 2i is a root its conjugate 1 - 2i is also a root. Conjugates always travel in pairs. So [x-1+2i][x-1-2i] = X^2 -2x + 5 appears to be a root. By polynomial division, we get x-4.
SO, the three roots are X = 1+-2i, 4.