1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nevsk [136]
3 years ago
10

How to solve a complex number

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0
Hey Sweetie! I'll gladly answer this question for you!


Complex numbers are "binomials" of a sort, and are added, subtracted, and multiplied in a similar way. (Division, which is further down the page, is a bit different.) First, though, you'll probably be asked to demonstrate that you understand the definition of complex numbers.

<span><span>Solve <span>3 – 4i = x + yi</span></span>Finding the answer to this involves nothing more than knowing that two complex numbers can be equal only if their real and imaginary parts are equal. In other words, <span>3 = x</span> and <span>–4 = y</span>.</span>

To simplify complex-valued expressions, you combine "like" terms and apply the various other methods you learned for working with polynomials.

<span>Simplify (2 + 3i) + (1 – 6i).</span>

(2 + 3i) + (1 – 6i) = (2 + 1) + (3i – 6i) = 3 + (–3i) = 3 – 3i

<span>Simplify (5 – 2i) – (–4 – i).</span><span>(5 – 2i) – (–4 – i)<span>= (5 – 2i) – 1(–4 – i) = 5 – 2i – 1(–4) – 1(–i)= 5 – 2i + 4 + i= (5 + 4) + (–2i + i)= (9) + (–1i) = 9 – i</span></span>

You may find it helpful to insert the "1" in front of the second set of parentheses (highlighted in red above) so you can better keep track of the "minus" being multiplied through the parentheses.

<span>Simplify<span> (2 – i)(3 + 4i).</span></span><span>(2 – i)(3 + 4i) = (2)(3) + (2)(4i) + (–i)(3) + (–i)(4i)<span>= 6 + 8i – 3i – 4i2 = 6 + 5i – 4(–1)= 6 + 5i + 4 = <span>10 + 5i</span>
<span>

That is your answer....


Hope I helped!



</span></span></span>
You might be interested in
What is 25 meters per second to miles per hour
leva [86]

Answer:

25 × 60 (1 minute) × 60 (1 hour) = 90,000 meters/hour

90,000 converted into miles is 55.923

4 0
3 years ago
HELP ME WILL MARK YOU AS BRAINLIEST IF CORRECT
Verdich [7]

Answer:

C. (-3, 2, -1)

Step-by-step explanation:

There are two types of matrices. One is REF and the other is what makes REF simpler--RREF. We use RREF to solve for REF because it makes the solution easy to find. RREF is displayed in your problem... it means that it's already solved, so the answers are already given on the right side, which is -3,2,-1. This only works with the combination provided (with the 0s and 1s). Otherwise, you'd have to solve.

6 0
3 years ago
3:9 in simpliest form
Softa [21]

Answer:

1:3

Step-by-step explanation:

3    divide 3    1

9    divide 3    3

5 0
3 years ago
Read 2 more answers
What is Fort nite best opinion gets brainliest
lora16 [44]

Honestly it's fun and people need to stop hating on it just because most of the people are toxic and weird. I don't play it, but It's really not worth the hate. People just hate just to hate about it.

Same with ro blox.

5 0
3 years ago
What is the correct answer for all? ​
olya-2409 [2.1K]

Answer:

Answer:

Already answered brainly.com/question/634135

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the discriminant of 3x2 + 6x = 2?
    7·1 answer
  • How do I find a slope of a line?
    13·2 answers
  • Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
    12·1 answer
  • Use the ratio table to solve the percent problem.<br><br><br> What percent is 12 out of 20?
    10·2 answers
  • What is an example of a GOOD that can be import or exported?
    14·2 answers
  • The cafeteria at a summer camp gives each camper 2/3 cup of juice for breakfast. This morning, 50 campers had juice for breakfas
    15·1 answer
  • Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, how far would Lin run in 1 hour?
    15·1 answer
  • MULTIPLE CHOICE QUESTION A car travels 120 miles in 2 hours. It goes an average of South East direction. What is its velocity? 6
    13·1 answer
  • HELP ME PLSSSSSS IM ALMOST DONE !!! Owen took a road trip to Utah. He traveled 615 miles. He put a total of 30 gallons of gas in
    5·1 answer
  • 3- (2x - 5) &lt; -4(x + 2)​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!