anonymous
  • anonymous
Find \(x\).\[\left(2\cdot 7\right)^n+\left(3\cdot 5\right)^n-5 \equiv 0 \pmod{x},\quad n\in\mathbb{Z}\]
Mathematics
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anonymous
  • anonymous
Find \(x\).\[\left(2\cdot 7\right)^n+\left(3\cdot 5\right)^n-5 \equiv 0 \pmod{x},\quad n\in\mathbb{Z}\]
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
@ishaan ayye konsa grade ka problem ha?
anonymous
  • anonymous
hmm depends. what grade are you in?

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

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