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

Which of the following elements of literature is a good point of comparison for many works of literature? a. Characters (Incorrect) b. Setting c. Conflict (inco
Which heading should replace the question mark in the chart below? Year ? 1918 1.4 1919 1.4 1920 5.2 1921 11.7 A.Unemployment Rate in Percent B. Immigration fro
what is the quotient of 52.7 ÷ 4.25? 1.24 12.4 13.28 132.8
solve the following system of equations using any method 10x 2y 7z=22 6x 6y 5z=−14 x 4y 2z=−14
12 children play musical chairs if there are three chairs how many ways are there for three children to sit
what is the 8th term of the geometric sequence 4, −20, 100, …?
muscular endurance is evident by:
Modern : antiquated :: weak :
The force involved in a collision is 1.0 × 102 newtons. The duration of the impact is 1.0 × 10-4 seconds. What is the value of the change in momentum?
Please help me know this problem