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

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

Solve 5^(2x) = 7^(x−1). 1.52864 −1 −1.52864 1

Why did anti-federalists opposed ratification of the united states constitution until they were assured that what would be added to the constitution?

What is Adam's point of view about giving legal rights and representation to women?

Her gross pay at the end of 7 work day is 35h + 56 dollars. What expression represents her gross pay each day

Which of the following is the largest volume? (B?) 1.2 x 105 cm3 1.2 x 102 m3 2.0 x 104 dm3 1.2 x 108 mm3

A DNA strand has the sequence ACCGAGCTT. Which is the complementary strand of RNA

absorption of nutrients from digestion into the circulatory system occurs

What are the solutions to log3x + log3(x2 + 2) = 1 + 2log3x? x = –2 x = –1 x = 1 x = 2 There is no true solution. (You may select up to as much as you

Which planets are the most dense

Your body has designed a traffic signal for action potentials traveling from one neuron to another. in this system, a red light represents _____.