Question

To find: A positive for the congruence 210x=8(\bmod 13).

Polynomial factorization
ANSWERED
asked 2021-04-17
To find: A positive for the congruence \(\displaystyle{210}{x}={8}{\left({b}\text{mod}{13}\right)}\).

Answers (1)

2021-04-19
Given information:
\(\displaystyle{210}\times{7}={1}{\left({b}\text{mod}{13}\right)}\)
Concept used:
\(\displaystyle{a}{b}\text{mod}{b}\) =Remainder, when a is divided by b.
Calculation:
\(\displaystyle{210}\cdot{7}={1}{\left({b}\text{mod}{13}\right)}\)
Multiplying both sides by 8.
\(\displaystyle\Rightarrow{210.56}={8}{\left({b}\text{mod}{13}\right)}\)
Compare with \(\displaystyle{210}{x}={8}{\left({b}\text{mod}{13}\right)}\)
Now x=56
Conclusion:
x=56
0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...