rainbowowlkitte rainbowowlkitte
  • 13-10-2019
  • Mathematics
contestada

Solve the polynomial congruence x² ≡ 1(mod3).

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-10-2019

Answer:

  x is any integer not a multiple of 3

Step-by-step explanation:

This is equivalent to ...

  (x mod 3)² = 1

  x mod 3 = ±1 . . . . . . taking the square root

Possible values of x mod 3 are 0, 1, 2 (≅-1), so the only value excluded is 0.

  x mod 3 ≠ 0 . . . . . . for any integer x

Answer Link

Otras preguntas

Which explorer was the first to reach the Cape of Good Hope?
Which of the following statement best describes the position of slaves in Roman society
The map shows the Persian Empire. The Persian Empire What is the best conclusion based on the map?
What’s the answer please help!!
the idea that observations of natural events would lead to theories which would explain these events is called​
What’s the rule for this problem???
The Cretaceous-Paleogene was a mass extinction event in which nearly every single large, land-dwelling dinosaur went extinct. Which of the following did not res
Match the terms with their definitions. 1. responsible for the proper conduct of the election challenger 2. used to elect the President, Vice President, and
In "Times Have Changed," why did the author most likely show the points of view of a grandfather and his grandson? A. to show that different generations can see
Think about the steps that have to happen before mining can begin. Which of the following steps do you think comes before the mining process starts. Select all