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

Yasmin

Yasmin

Answered question

2021-02-12

Find all whole number solutions of the congruence equation.
(2x+1)5mod4

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-02-13Added 110 answers

Step 1 
Take a look at the provided congruence equation.
(2x+1)5mod4 
Step 2 
Each whole number less than four should be substituted into the congruence equation.
x=0,2(0)+15mod4 a solution 
x=1,2(1)+15mod4 not a solution 
x=2,2(2)+15mod4 a solution 
x=3,2(3)+15mod4 not a solution 
0 and 2 is the answer between 0 and 3.
Repeatedly applying the modulus, 4, to these solutions yields the remaining solutions.
The congruence equation's solutions are therefore 0,2,4,6,8,10,...

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