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

write 18/25 as a percent
Plz help! Estimate. Then find the sum or difference. 743.5 - 462.87= 98.01 + 52.003= 74.9 - 16.227=
a car traveling at a speed of 30.0 m/s encounters an emergency and comes to a complete stop. how much time will it take for the car to stop if it decelerates at
solve a=1/2(b+c)h for c
7 is 1/10 of what number
Suppose you will fill a glass with ice cubes. When the ice cubes melt, is the glass still full
long tubes that carry water and sugar from leaves to the resr of the plant are known as
Write an equation that represents the given information. DO NOT solve the equation. Katie spent $1 more than Mark. Together they spent $5. How much did Mark spe
-4n+7+2n=1 a. 1 b. 3 c. -3 d. 4
what is the difference between 827 and 533