4x-6-mod-10-

Question Number 92187 by jagoll last updated on 05/May/20

4 x = 6 (\mod 10)

Commented by john santu last updated on 05/May/20

4 \times 4 = 16 = 6 (m o d 10)

4 \times 9 = 36 = 6 (m o d 10)

t h e n 4 & 9 is solution

Answered by mr W last updated on 05/May/20

4 x = 10 n + 6 = 8 n + 4 + 2 (n + 1)

n + 1 = 2 k

n = 2 k - 1

4 x = 10 (2 k - 1) + 6 = 20 k - 4

\Rightarrow x = 5 k - 1 = 4, 9, 14, 19, \dots .

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