chrisprobert
chrisprobert chrisprobert
  • 13-07-2017
  • Mathematics
contestada

Find the quotient of 5+4i/6+8i , and express it in the simplest form

Respuesta :

Banabanana
Banabanana Banabanana
  • 13-07-2017
remember: i² = -1

[tex] \frac{5+4i}{6+8i}= \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}= \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i[/tex]

Hope this helps
Answer Link

Otras preguntas

what is the Gold standard
solve below for 50 points pls!!
I need help yall help me
1. Declare a variable named num with an initial value of 0. Create a while loop that will print "Keep going" as long as the value of num is less than 5. Use win
In what year would the headline shown above have been published
A reaction in which one element replaces another in a compound or in which two elements in different compounds trade places is called a(n)
Aleena babysits for 4 ½ hours and is paid $27. How much does she make per hour?
Suppose Robert is 6 feet tall and casts a shadow that is 2.5 feet in length. The shadow of the water tower is 53 feet in length. State the height of the water t
What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?
HELP ME PLEASE PLEASE PLEASE VERY URGENT Zero is a solution for which inequality? a 4.1m > -16.4 b 4.1m > 16.4 c -4.1m > 16.4 d 4.1m < -16.4