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

multiply.round your answer to the nearest tenth: 3x2.5x1.05
Hippocrates taught that disease was the result of ___________. a. bad behavior b. natural causes c. divine action d. curses
Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at their math club meeting. They paid
Which mixture can be classified as a heterogeneous mixture ? a. steel b. iron c. 14 karat gold d. salad dressing
A(n) ____ tag is a label applied to a piece of hardware that identifies the owner, and is either indestructible or tamper-evident.
What is the estimate of 7/12 + 5/6
The term _______ can be defined as a signal that is continuous over a period of time as opposed to digital, which is a non-continuous signal. analog digital dig
you want to create a rectangular display of 50 quarters with the same amount of quarters in each row. how many ways can you arrange your display?
To decrease an amount by 70%, what single multiplier would you use? How do i work this out?
. The most abundant type of rocks on Earth are classified as