precious42003 precious42003
  • 09-03-2020
  • Mathematics
contestada

Determine the quotient of the complex numbers 3 + 4i and 8 - 2i, using the latter as the divisor.

Respuesta :

profarouk profarouk
  • 09-03-2020

Answer:

[tex]\frac{4}{17} +\frac{19}{34}i[/tex]

Step-by-step explanation:

[tex]\frac{3+4i}{8-2i} = \frac{(3+4i)(8+2i)}{(8-2i)(8+2i)} =\frac{24+6i+32i-8}{64+4} =\frac{16+38i}{68} =\frac{4}{17} +\frac{19}{34}i[/tex]

Answer Link

Otras preguntas

Describe two structures that allow arthropods to breathe air.
North ans South Carolina became separate proprietary colonies? True or False?
How did Chinese culture influence Japanese practices?
is 5 and four fifths = 5.8
Two identical trains, at the equator start travelling round the world in opposite directions.they start together, run at the same speed and are on different tra
Why is it important not to misuse or overuse antibiotics?
An interjection is always:  A. intended to show feeling.B. followed by an exclamation point.C. preceded by preposition.D. related to another word in the senten
Explain and illustrate the difference between a term and coefficient.
Jabary is thinking of 3 numbers the greatest number is twice as large as the least number the middle number is 3 more than the least number the sum of the 3 num
In return for trading only with them. Great Britain promised the colonies that they would _______________