leslie0613cardebs leslie0613cardebs
  • 12-02-2021
  • Mathematics
contestada

What is the quotient of the complex number 4-3i divided by its conjugate?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-02-2021

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}[/tex]

_____

Additional comment

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

Answer Link

Otras preguntas

In the _____ stage of group development, members typically try to get a feel for what is expected of them, what types of behaviors are out of bounds, and who's
Which is the primary consumer in this food chain? mc011-1.jpg rabbit grass snake hawk
Write using algebra. Jimmy ran m miles in t minutes. What was his speed?
To determine a 72 percent level of confidence for a proportion, the value of z is approximately:
A sample of water is heated from 10.0 (degrees Celsius) to 15.0 (degrees Celsius) by the addition of 125 J of heat. What is the mass of the water? (I understand
An open rectangular tank is made so as to contain 4.5 metres cube of liquid. The length must be twice the breadth and the amount of material used to make the ta
ALGUIEN CONOCE A KRONO ZOMBER
What's the answer for x/2-5=3
what was the initial purpose of the constitutional convention
someone is eating a 50 gram chocolate bar which contains 30% cocoa how many grams of cocoa is in the chocolate bar