Answer to Question #116076 in Algebra for Jflows

Question

3.Solve for z if (z−2)^2 + 16=0.
\\(\\pm 4i)
\\(2\\pm 4i)
\\(-1\\pm i)
\\(2\\pm 2i)

Answer 1

$$(z-2)^2+16=0$$

$$z-2=\pm4i$$

$$z=2\pm 4i$$