Problem

Topic 5: Polynomial and Other Equations
Perform the indicated operation. Write the answer in the form $a+b i$.
\[
(-12-10 i)+(17+14 i)
\]
Select one:
a. $9 i$
b. 9
c. $5+4 i$
d. $29+24 i$
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Answer

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Answer

\(\boxed{5+4 i}\) is the final answer.

Steps

Step 1 ：The question is asking to add two complex numbers. The operation is straightforward: we just need to add the real parts together and the imaginary parts together separately. The real parts are -12 and 17, and the imaginary parts are -10i and 14i.

Step 2 ：real_sum = -12 + 17 = 5

Step 3 ：imag_sum = -10i + 14i = 4i

Step 4 ：The sum of the two complex numbers is \(5+4 i\)

Step 5 ：\(\boxed{5+4 i}\) is the final answer.

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