Ishaan94
Find \(x\).\[\left(2\cdot 7\right)^n+\left(3\cdot 5\right)^n5 \equiv 0 \pmod{x},\quad n\in\mathbb{Z}\]



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Ishaan94
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@KingGeorge

pawankumar
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@ishaan ayye konsa grade ka problem ha?

Ishaan94
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hmm depends. what grade are you in?

pawankumar
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i 'm in 12th

pawankumar
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but i don't have any i idea how to solve this problem....can we solve with mathmetical induction

Ishaan94
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you can try it then.

Ishaan94
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hmm idk, i don't know how you could possibly solve it with mathematical induction.

hartnn
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is the power in LHS 'n' ? because then LHS modx will give u LHS for any and every value of x(and quotient=0)...as LHS does not depend on x....

Ishaan94
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yes, the exponential power is \(n\) and \(n\in \mathbb{Z}\).

experimentX
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what is x? integer or real number?

Ishaan94
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Integer.

mukushla
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i think its\[2\times7^n+3\times 5^n5 \]

Ishaan94
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hmm maybe. i can't be sure of the question, i got it yesterday on my test. does it solves the problem? @mukushla

mukushla
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yeah it solves the problem and answer will be \(x24\)...

Ishaan94
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thanks. i got the same as well. i must have read the question wrong.

mukushla
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very well...:)