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Dangerous Expression for Rationals (Posted on 2013-03-31) Difficulty: 3 of 5
Prove or disprove the following statement:

Each positive rational number can be written in the form: (a^2+b^3)/(c^5+d^7)
where a,b,c,d are positive integers.

No Solution Yet Submitted by Danish Ahmed Khan    
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Question? | Comment 1 of 5

I find this fundamentally wrong. Pls explain?

There is no way you can get any possible rational number with very limited values of the expressions ( a^2 + b^3 ) for any positive a or b and ( c^5 + d^7 ) for any positive c or d.

I have tried it for very simple rational numbers there is no solution?  


  Posted by Salil on 2013-04-05 00:45:28
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