star6481 star6481
  • 24-09-2021
  • Mathematics
contestada

Express the following complex numbers 6+2i divided by 2+4i in the form of a+ib

Respuesta :

malachihenderson60 malachihenderson60
  • 24-09-2021

Answer:

Multiplying both numerator and denominator by the Complex conjugate of the denominator

Therefore,

(3+4i)

(2−3i)

​

=

3+4i

2−3i

​

×

3−4i

3−4i

​

=

(3)

2

−(4i)

2

(2−3i)(3−4i)

​

=

9+16

(6+12i

2

)−(9+8)i

​

=

25

−6−17i

​

=

25

−6

​

+

25

−17

​

i

Here, A=

25

−6

​

 and B=

25

−17

​

Step-by-step explanation:

Answer Link

Otras preguntas

please help me thank u bye
An engineer makes a model of a bridge using scale of 1 inch= 3 yards. The length of the actual bridge is 50 yards. What is the length of the model?
This simple bacteria cell has the same structure as more complex cells. It controls what comes in to and leaves the cell and also maintains homeostasis. It is t
Descrie ziua satului din 100 de cuvinte.
Where is blood pressure lowest in the body?
what's -26.3 plus -12.6
________ will occur soon after the appearance of rapid eye movements in the sleep record.
how do shapes of different coastlines support continental drift
Each side length of the parallelogram at the right is multiplied by 4.Describe the change in the parameter.Justify your answer
X squared + 7 x equals -10