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7^x + 3^x=10^x
May 18, 2008
7:28 PM


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x=1 is the only positive solution as x=2 is not a solution and andrew wiles proved that the equation a^x + b^x = c^x has no solution for x>2
Jul 22, 2008
8:50 AM


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what about x not integer?
Sep 23, 2008
3:34 PM

Posted by Alice Matos

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good job.

=== Original Message ===

x=1 is the only positive solution as x=2 is not a solution and andrew wiles proved that the equation a^x + b^x = c^x has no solution for x>2
Sep 25, 2008
1:56 PM

Posted by Armel Josiah

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he only proved it for x integer.
what about
7^1/2 + 3^1/2=10^1/2
and things like that?
Sep 26, 2008
2:59 PM

Posted by Alice Matos

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Actually, 7^1/2 + 3^1/2 = 5, not 10^1/2.
Disregarding that you are right. It should be "only positive integer solution" and "no solution for x>2, where x is an integer".
Sep 27, 2008
11:40 AM


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hehe, you've got my point I wasnt claiming that 7^1/2 + 3^1/2=10^1/2
By the way, it is not = 5 either.
The point was
7^x + 3^x=10^x could have a solution x that is not an integer....
does it?
Oct 1, 2008
4:39 PM

Posted by Alice Matos

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Hahaha that's what i get for being cocky xD
(7^(1 / 2)) + (3^(1 / 2)) = 4.37780212
But yeah, i really have no idea how many solutions it has :P
I'll have a look at it later (maybe) :)
Oct 2, 2008
8:41 AM


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