Holooly Plus Logo

Question 9.6: If z1 = 3 − 4j and z2 = 4 + 2j find z1 + z2 and z1 − z2....

If  z_1 = 3 − 4j  and  z_2 = 4 + 2j  find  z_1 + z_2  and  z_1 − z_2.

Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.
\begin{aligned}z_1+z_2 & =(3-4 j)+(4+2 j) \\& =(3+4)+(-4+2) j \\& =7-2 j \\z_1-z_2 & =(3-4 j)-(4+2 j) \\& =(3-4)+(-4-2) j \\& =-1-6 j\end{aligned}

Related Answered Questions

Question: 9.7

Verified Answer:

z_1z_2 = (2 − 2j)(3 + 4j) Removing ...
Question: 9.1

Verified Answer:

Using the formula for solving a quadratic equation...
Question: 9.2

Verified Answer:

We have \begin{aligned}j^3 & =j^2 \time...
Question: 9.3

Verified Answer:

To find the complex conjugates of the given number...
Question: 9.4

Verified Answer:

If we let P(x) = x³ − 7x² + 19x − 13, then P(1) = ...
Question: 9.5

Verified Answer:

If both quantities represent the same complex numb...
Question: 9.8

Verified Answer:

If z = 3 − 2j then its conjugate is  \bar{z...
Question: 9.9

Verified Answer:

We seek  \frac{2+9 j}{5-2 j}  The c...
Question: 9.10

Verified Answer:

The Argand diagram is shown in Figure 9.2.
Question: 9.11

Verified Answer:

The real part of z is 1 and the imaginary part is ...