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

please help me fast and show all your work please and example please ​
Please answer number 18 I’ll love you foreverrr
Sara, Nick and June share some sweets in the ratio 5:5:1. Sara gets 45 sweets. How many sweets are there altogether?
Which type of nerve carries commands to the skeletal muscles? a. Neuromuscular nerves b. Cardiac nerves c. Visceral nerves d. Somatic nerves e. Synapti
25 POINTS!! So I am REALLY confused on this Spanish question and I keep getting it wrong, can someone please help me and explain the correct answer? The test is
To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most on r
8 1/3 ÷x=2 1/3 ÷8.1 Please help
It may be cold up North, but down in the Gulf they are fishing—scudding among the Florida Keys in a little white sailboat, landing for lunch on a strand as snow
How does international trade lead to specialization?
Question 2(Multiple Choice Worth 2 points) (06.02) Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution