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

what is nine hundred twenty-seven and fifteen hundredths in standard form?????????? HELP FAST PLEARE!!!????!!!!???
the morning temperature in Fargo, north Dakota is -28 degrees F. in the afternoon the temperature is 19 degrees F and at night the temperature is 2 degrees F. w
the sum of two numbers is 92.Their difference is 20
Which statement best explains why German leaders were irritated with colonialism in Africa? They believed the colonization of Africa was immoral and illegal. Th
When Earth moves into the moon's shadow, a solar eclipse takes place. Which phase represents the appearance of the moon during a solar eclipse? A=third quarter
5x+y=2 2x3y=62 whatn is x and y
kayla's class went on a field trip to an aquarium . one tank had 30 clown fish. She miscounted the total number of clown fish in the tank and recorded it as 24
what is 20/100 in simplest form
Education was important to former slaves because...
Michelle has a $100.she wants to purchase paper pins ($20) and file covers ($20) and paper weights. Each paper weight costs $10. How many paper weights can she