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**Yusuke00****Member**- Registered: 2013-11-19
- Posts: 43

Hey guys.I just came out with a new problem i discovered.

Let it be n>=2 a natural number and n rational numbers with the property that,however we pick one of them,the sum of the other n-1 is 0.Show that all the numbers are equal to 0.

xD have fun

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,354

Let the numbers be

and for .Then we have that

for . We see that all of the numbers are the same. It is now obvious that they must all be zero.*Last edited by anonimnystefy (2013-11-24 06:28:02)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**Yusuke00****Member**- Registered: 2013-11-19
- Posts: 43

Interesting proof,i thought of a different one.

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**Yusuke00****Member**- Registered: 2013-11-19
- Posts: 43

How do you write mathematical here?

I mean with all the symbols and etc.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,354

Use (math)(/math), except that you put [ and ] instead of ( and ). This enables you to use LaTeX on the forum.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,304

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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