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

Which is true of the aim occupation of wounded knee apex?
I need help please ‍♂️
Help please.............
Neurotransmitters (like acetylcholine) are required to conduct nerve impulses because the neurons do not physically touch each other or the cells on which they
which words most clearly suggest a challenging time?
How can (1/6)x − 5 = (1/5)x + 2 be set up as a system of equations? (6 points)
PLLLEEEAASEEE CHECK MY ANSWERS I NEED THIS IT IS URGENT!!!
Venn diagrams are used for comparing and contrasting topics. The overlapping sections show characteristics that the topics have in common, and the sections that
which of the following is not an example of an abiotic factor
According to the fluid mosaic model of membrane structure, proteins of the membrane are mostly