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

Bevan Mcdonald 2020-11-24 Answered
Find all whole number solutions of the congruence equation.
(2x+1)5 mod 4
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Expert Answer

curwyrm
Answered 2020-11-25 Author has 87 answers
Step 1
Consider the given congruence equation.
(2x+1)5 mod 4
Step 2
Substitute each whole number less than 4 into the congruence equation.
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
The solution between 0 and 3 is 0 and 2.
The remaining solutions are determined by repeatedly adding the modulus,4,to these solutions.
Hence, the solutions to the congruence equation 0,2,4,6,8,10,...

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Answered 2022-06-27


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

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