Questions: Subtract (-12+5i)-(-16-17i)= If the answer is radical use sqrt(5) to denote √5 (use the correct r If the answer is complex use i to denote i.

Solution Steps

To subtract two complex numbers, we need to subtract their real parts and their imaginary parts separately.

1. Identify the real and imaginary parts of each complex number.
2. Subtract the real parts.
3. Subtract the imaginary parts.
4. Combine the results to form the final complex number.

Given the complex numbers: \( z_1 = -12 + 5i \) \( z_2 = -16 - 17i \)

Subtract the real parts of \( z_1 \) and \( z_2 \): \[ -12 - (-16) = -12 + 16 = 4 \]

Subtract the imaginary parts of \( z_1 \) and \( z_2 \): \[ 5 - (-17) = 5 + 17 = 22 \]

Combine the results to form the final complex number: \[ 4 + 22i \]

Final Answer