ShaveTheWhales
ShaveTheWhales ShaveTheWhales
  • 02-05-2017
  • Mathematics
contestada

Simplify the complex number. Express your answer in a + bi form and include each step necessary in simplifying.[tex] \frac{3-2i}{1+4i} [/tex]

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-05-2017
[tex]\dfrac{x+iy}{u+iv}\times\dfrac{u-iv}{u-iv}=\dfrac{(x+iy)(u-iv)}{u^2-(iv)^2}[/tex]
[tex]=\dfrac{xu-i^2yv+iyu-ixv}{u^2+v^2}[/tex]
[tex]=\underbrace{\dfrac{xu+yv}{u^2+v^2}}_a+i\underbrace{\dfrac{yu-xv}{u^2+v^2}}_b[/tex]
Answer Link

Otras preguntas

Enumerate the changes that takes place in liquid during Evaporation ?
_____ view is best for viewing thumbnail images of multiple slides at once.
Gyres are circular, rotating ocean currents that __________.
What is a paradox? the audience or reader knows or understands something that a character does not know a statement or situation that seems to be contradictory
BRAINLIEST ASAP! Please don’t guess on this
According to this W-2, how much Social Security tax was withheld from John T. Smith’s income for 2012?A).  $1,756.56B).  $2,567.45C).  $612.65D).  $44,567.34
What is foreshadowing
Can segments be parallel?
What is the volume of a box measuring 1mX5mX6m?
Can someone help me the answer choices are still the same for the rest of the questions