Imo 1959-1
Prove that the fraction $\dfrac {21n+4} {14n+3}$ is irreducible.
Last edited by Moon on Sat Dec 11, 2010 9:21 pm, edited 3 times in total.
Reason: use \dfrac {21n+4} {14n+3} for larger fractions.
Reason: use \dfrac {21n+4} {14n+3} for larger fractions.
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Re: Imo 1959-1
Use $ax+by=1$ implies a and b coprime for integer $a, b, x,y $
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Re: Imo 1959-1
Let $(21n + 4, 14n + 3) = p$
So, $p/ 3 * (14n + 3) - 2 * (21n + 4) = 1$
(proved)
So, $p/ 3 * (14n + 3) - 2 * (21n + 4) = 1$
(proved)
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When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
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