Questions: (4+7i)+(1-6i)

Transcript text: $(4+7 i)+(1-6 i)$

Solution

Solution Steps

To solve the complex number addition problem, we need to add the real parts and the imaginary parts separately. The real parts are 4 and 1, and the imaginary parts are 7i and -6i.

Step 1: Identify the Real and Imaginary Parts

To add the complex numbers $(4 + 7i)$ and $(1 - 6i)$, we first identify the real and imaginary parts of each number. The first complex number has a real part of 4 and an imaginary part of 7. The second complex number has a real part of 1 and an imaginary part of -6.

Step 2: Add the Real Parts

Add the real parts of the complex numbers: \[ 4 + 1 = 5 \]

Step 3: Add the Imaginary Parts

Add the imaginary parts of the complex numbers: \[ 7 + (-6) = 1 \]