this is about complex numbers. how to get the final answer z0=1+3i-sqrt8i and the other one

Question 1.3: Solve the equation: 22 + v32zi - 6i = 0 Solution: Using the quadratic formula, we have 2 = -V32i + v-32 + 24i = -V8itv-8+ 6i 2 Next, we can find the square root of -8+6i with either of the following two methods. i) The modulus of -8 + 6i is | - 8 + 62) = 10, and its argument is set to be 0. Based on the sign of the real and imaginary parts, we have ,