Question

Solve 8x = 1 (mod 11)​

Answer 1

Answer:

Here is your solution mate!!!.

8x = 1×|11|

as we all know the work of modulus function is just to convert the negative numbers into positive.

but as you can clearly see that there is no negative sign here so the value in the modulus remains same i.e.11.

Hence:::》

8x = 1× 11 (as 11 remains)

8x = 11

x = 11/8

x = 1.375

hope this helps uh.

Answer 2

8x- 1= 11k ( for some integers k)

X=11k+1/8

Therefore, k=5, 13,21,29........

X= 11×5+1/8=7

X= 11×13+1/8= 18

Therefore, the solutions are 7,18,29,40,.....