kailiekleeves kailiekleeves
  • 11-11-2020
  • Mathematics
contestada

Which pair of complex numbers has a real-number product?

O (1 + 2i) (8i)

0 (1 + 2i) (2 - 5i)

O (1 + 2i) (1 – 2i)

O (1 + 2i)(4i)

Respuesta :

jimrgrant1 jimrgrant1
  • 11-11-2020

Answer:

(1 + 2i)(1 - 2i)

Step-by-step explanation:

Multiplying a complex number and its conjugate results in a real number.

Thus

1 + 2i and 1 - 2i are conjugates

(1 + 2i)(1 - 2i) ← expand using FOIL

= 1 - 2I + 2I - 4I² [ note i² = - 1 ]

= 1 - 4(- 1)

= 1 + 4

= 5 ← a real number

Answer Link
Numinum
Numinum Numinum
  • 18-05-2022

Answer:

C

Step-by-step explanation:

C

Answer Link

Otras preguntas

Can drinking too much water be bad for you?
grain is stored in cylindrical structures called silos. which is the best estimate for the volume of a silo with a diameter of 12.3 feet and a height of 25 feet
Determine the part of speech for the italicized word in the sentence below. The pink pig clapped (wildly). adverb interrogative noun adjective verb
Sarah has going to work for 60 days. On 39 of those days she arrived at work before 8:30 AM. On the rest of the day she arrived after 8:30 AM. What is experimen
a normal window is constructed by adjoining a semicircle to the top of an ordinary rectangular window, (see figure ) The perimeter of the window is 12 feet. wh
When did the Dell Inspiron 11 come out?
Who is the most misunderstood person in history?
2x+y=20 6x-5y=12 substitution
400 reduced by 3 times my age is 163. What is his age?
Which sentence has no errors in the use of quotation marks? A. Mr. Thompkins said "boys, can you rake the leaves, too?" B. She told me "you don't know what you'