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

Bevan Mcdonald

Bevan Mcdonald

Answered question

2020-11-24

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

Answer & Explanation

curwyrm

curwyrm

Skilled2020-11-25Added 87 answers

Step 1 
Consider the congruence equation provided.
(2x+1)5 mod 4 
Step 2 
In the congruence equation, substitute each whole number less than four.
x=0.2(0)+15 mod 4 a solution 
x=1.2(1)+15 mod 4 not a solution 
x=2.2(2)+15 mod 4 a solution 
x=3.2(3)+15 mod 4 a solution 
Between 0 and 3, the solution is 0 and 2.
The remaining solutions are determined by adding the modulus,4 to these solutions repeatedly.
As a result, the congruence equation solutions 0,2,4,6,8,10,...

2022-06-27


Find all whole number solutions of the congruence equation.
(2x + 3)        8  mod 12

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