Step 2: To find z, we need to take the square root of both sides.
Step 3: When taking the square root of -16, we can rewrite it as √(-16).
Step 4: Since the square root of a negative number involves 'i' (the imaginary unit), we can express it as √(16) * √(-1).
Step 5: We know that √(16) = 4 and √(-1) = i.
Step 6: Therefore, √(-16) = 4i.
Step 7: Since we have both positive and negative roots, we write z = ±4i.
Complex Numbers – Understanding that the square root of a negative number involves imaginary numbers, specifically using 'i' to represent the square root of -1.
Square Roots – Recognizing how to properly take the square root of both positive and negative values.
