Answer
$z_1=-2i, z_2=i$
Work Step by Step
Step 1. Identify the coefficients for the quadratic formula: $a=1, b=i, c=2$
Step 2. Solve the equation: $z=\frac{-i\pm\sqrt {i^2-4\times2}}{2}=\frac{-i\pm\sqrt {-1-8}}{2}=\frac{-i\pm3i}{2}=$
Step 3. Solutions $z_1=-2i, z_2=i$
