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you mean 3 right ??? :)
 Discussion Forums -> This Post 7 points    (1    in 2 votes )   [?]

Let be two parallel lines.. And d is the perpendicular distance between them... Then.

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http://www.goiit.com/posts/show/1103211.htm
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..

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http://en.wikipedia.org/wiki/Euler%27s_theorem
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sikkim
 Discussion Forums -> This Post 2 points    (0    in 1 votes )   [?]

From Euler's totient theorem

So,

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??

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rational roots theorem can be a help if the equation has rational roots. If it has irrational roots the you can not solve without using a computer.

 Discussion Forums -> This Post 10 points    (2    in 2 votes )   [?]

These are quite easy if you know congruency...

7103 is divided by 5

From Fermat Little Theorem,

3232power 32 is divided by 7

So leaves remainder 4 when divided by 7..

3232 is divided by 3

$32^2\equiv1\mod3\Rightarrow 32^{32}\equiv1\mod3$

22225555 + 55552222 is divided by 7

$2222^6\equiv1\mod7\\\Rightarrow2222^{6\times925}\equiv1\mod7\\\Rightarrow 2222^{5555}\equiv2222^5\equiv3^5\equiv5\mod7$

$5555^6\equiv1\mod7\\\Rightarrow5555^{6\times370}\equiv1\mod7\\\Rightarrow 5555^{2222}\equiv5555^2\equiv4^2\equiv2\mod7$

So, 22225555 + 55552222     leaves remainder 0 when divided by 7

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Let

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Hint :-

Prove the above inequality..

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in integral calculus ??????????

in number theory

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no answers till now !! I can't wait :D

i am telling the answer.. 197

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oops...
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sin nx ? i consider that to be a typo..
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