allenliberty254
allenliberty254 allenliberty254
  • 23-11-2020
  • Mathematics
contestada

Which pair of complex numbers has a real-number product?
* (1 + 3))(61)
* (1 + 3) (2-3)
* (1 + 3) (1-3)
* (1 + 3) (31)

Respuesta :

jimrgrant1 jimrgrant1
  • 23-11-2020

Answer:

(1 + 3i)(1 - 3i)

Step-by-step explanation:

The product of a complex number and its conjugate produce a real number.

given a ± bi the conjugate is a ∓ bi ← where a and b are real, then

(a + bi)(a - bi)

= a² - b² ← a real number

The only pair of conjugate complex numbers in the list is

(1 + 3i)(1 - 3i)

Answer Link
davidharrell81 davidharrell81
  • 21-09-2021

Answer:

c on edge

Step-by-step explanation:

Answer Link

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