To solve: The congruence 5+x \equiv 2(\bmod 6)

illusiia

illusiia

Answered question

2021-04-22

To solve:
The congruence 5+x2(bmod6)

Answer & Explanation

un4t5o4v

un4t5o4v

Skilled2021-04-24Added 105 answers

To solve the congruence 5+x2(bmod6), try each of the numbers
0, 1,2,3,4, and 5 to see which one solves the congruence.
For x=0
5+02(bmod6), but this is not true since 5+05(bmod6). So,
x = 0 is not the solution of the given congruence.
For x=1
5+12(bmod6), but this is not true since 5+10(bmod6). So,
x= 1 is not the solution of the given congruence.
For x =2
5+22(bmod6), but this is not true since 5+21(bmod6). So,
x = 2 is not the solution of the given congruence.
For x=3
5+32(bmod6)
82(bmod6), and it is true. So, x = 3 is the solution of the given congruence.
For x=4
5+42(bmod6)
92(bmod6), but this is not true since 93(bmod6). So, x =4
is not the solution of the given congruence.
For x=5
5+52(bmod6)
102(bmod6), but this is not true since 104(bmod6). So, x = 5
is not the solution of the given congruence.
Thus, x = 3 is the solution of the given congruence
5+x2(bmod6).
Final Statement:
Therefore, the solution of the congruence 5=x2(bmod6) is x=3.

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