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Chapter 2: Problem 24

Perform the operation and write the result in standard form. $$(13-2 i)+(-5+6 i)$$

Short Answer

Expert verified
The result of the operation in standard form is \(8 + 4i\).

Step by step solution

01

Identify the real and imaginary parts

Identify the real and imaginary parts of our complex numbers. For \(13-2i\), the real part is 13 and the imaginary part is -2. For \(-5+6i\), the real part is -5 and the imaginary part is 6.
02

Add the real parts

Add together the real parts of the two complex numbers. This is done by adding 13 and -5, which gives us 8.
03

Add the imaginary parts

Now, add together the imaginary parts of the two complex numbers. This is done by adding -2 and 6, which gives us 4.
04

Write the result in standard form

The result of the addition is written in standard form which is (a + bi). So, our result will be \(8 + 4i\) , with 8 being the real part and 4 the imaginary part.

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Most popular questions from this chapter

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