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Topic: ---- --- --- --- validity of an equation
Replies: 5   Last Post: Mar 14, 2013 6:20 PM

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Deep Deb

Posts: 393
Registered: 12/6/04
Re: ---- --- --- --- validity of an equation
Posted: Mar 2, 2013 1:25 PM
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On Saturday, March 2, 2013 8:43:43 AM UTC-5, Deep wrote:
> Consider the following equation under the given conditions
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> y^(1/2) = (x^10 - z^ 5)^(1/5 ) (1)
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> Conditions: y, x, z are co prime integers each > 5, 2|y.
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> Question: can (1) have any solution ?
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> Any helpful comment will be appreciated


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Thank you very much for your clear reply. Now consider the situation where y is not a perfect square.
Then from y^5 = w^2 implies y^(5/2) = w. Then w can not be an integer.
This confirms your conclusion without FLT

Kindly comment.

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