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Find \(x\).\[\left(2\cdot 7\right)^n+\left(3\cdot 5\right)^n-5 \equiv 0 \pmod{x},\quad n\in\mathbb{Z}\]

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@ishaan ayye konsa grade ka problem ha?
hmm depends. what grade are you in?

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Other answers:

i 'm in 12th
but i don't have any i idea how to solve this problem....can we solve with mathmetical induction
you can try it then.
hmm idk, i don't know how you could possibly solve it with mathematical induction.
is the power in LHS 'n' ? because then LHS modx will give u LHS for any and every value of x(and quotient=0) LHS does not depend on x....
yes, the exponential power is \(n\) and \(n\in \mathbb{Z}\).
what is x? integer or real number?
i think its\[2\times7^n+3\times 5^n-5 \]
hmm maybe. i can't be sure of the question, i got it yesterday on my test. does it solves the problem? @mukushla
yeah it solves the problem and answer will be \(x|24\)...
thanks. i got the same as well. i must have read the question wrong.
very well...:)

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