To find: All the natural number Answers for the congruence 4x\equiv 24\bmod 8.

DofotheroU

DofotheroU

Answered question

2021-02-24

To find: All the natural number Answers for the congruence
4x24bmod8.

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-02-26Added 109 answers

It is clear that 24bmod8 is same as 0bmod8.
So, the congruence is rewritten as follows,
4xObmod8
When x= 1 the congruence is not satisfied,
4(1)0bmod8
40bmod8
That is remainder cannot be 0, when it is divided by 8.
Similarly, when x= 3 the congruence is not satisfied,
4(3)0bmod8
120bmod8
That is remainder cannot be 0 when it is divided by 8.
Hence, it can be concluded that all the natural numbers except the odd numbers are Answers.
Therefore, the Answer to the congruence 4x24bmod8 is (2,4,6,.8,...}.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?