Question

(3 - 91i) + (67) =
express your answer in the form (a + bi).

Explanation:

Step1: Add the real parts

We have the complex number \(3 - 91i\) and the real number \(67\). To add them, we add the real parts together. The real part of \(3 - 91i\) is \(3\) and the other real number is \(67\). So, \(3+67 = 70\).

Step2: Keep the imaginary part

The imaginary part of the first complex number is \(-91i\) and since the second number \(67\) has no imaginary part (or we can consider its imaginary part as \(0i\)), the imaginary part remains \(-91i\).

Step3: Combine the real and imaginary parts

Combining the results from step 1 and step 2, we get the complex number in the form \(a + bi\) where \(a = 70\) and \(b=- 91\). So the result is \(70-91i\).

Answer:

\(70 - 91i\)