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. $29+24 i$ PREVIOUS PAGE Quiz navigation

Solution

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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