Find all whole number solutions of the congruence equation. (2x+1)equiv 5 mod 4

Nola Aguilar 2022-11-21 Answered
Find all whole number solutions of the congruence equation. ( 2 x + 1 ) 5 mod 4
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Answers (1)

Eva Cochran
Answered 2022-11-22 Author has 14 answers
Given, ( 2 x + 1 ) 5 mod 4
To find a whole number x<4, such that 2 x + 1 5 4 is an integer.
if x = 0 , = 4 4 = 1 is an integer.
if x = 1 , = 2 4
if x=2, =0 is an integer.
if x = 3 , = 2 4
Hence, the whole number solutions of the given congruence equation are x,(x+4),x+(2*4),...
0,2,4,6,8,..
Result:
0,2,4,6,8,...
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