Solving Z² = W with Cartesian Method

This lecture demonstrates how to solve the equation Z² = W in the complex plane using the Cartesian method, allowing for solutions even when angles are not readily calculable. Through examples, the instructor shows the step-by-step process of converting the complex equation into two real equations, solving for the real and imaginary parts separately, and visualizing the solutions on the complex plane. By solving the resulting biquadratic equation, the lecture concludes with finding the complex solutions Z1 = 2 + i and Z2 = -2 - i, emphasizing the importance of verifying solutions in cases where multiple solutions may arise.