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#1 2013-06-24 02:42:19

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 14,348
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Any more solutions?

x = 1 y = 1 z = 4
x = 1 y = 4 z = 9
x = 4 y = 1 z = 9
x = 1 y = 9 z = 16
x = 4 y = 4 z = 16
x = 9 y = 1 z = 16
x = 1 y = 16 z = 25
x = 4 y = 9 z = 25
x = 9 y = 4 z = 25
x = 16 y = 1 z = 25

Any more ordered solutions of √x + √y = √z such that 1≤x,y,z≤25?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#2 2013-06-24 02:44:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,665

Re: Any more solutions?

Hi;

Yes there are! You can find them.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#3 2013-06-24 02:45:26

zetafunc.
Guest

Re: Any more solutions?

I don't think that's all of them. x = y = 2, z = 8 works, for instance -- unless I've missed something?

#4 2013-06-24 02:51:55

ElainaVW
Member
Registered: 2013-04-29
Posts: 270

Re: Any more solutions?

Hello;

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#5 2013-06-24 03:00:38

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 14,348
Website

Re: Any more solutions?

zetafunc. wrote:

I don't think that's all of them. x = y = 2, z = 8 works, for instance -- unless I've missed something?

That is what I'm getting. I can't believe it


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#6 2013-06-24 03:06:18

ElainaVW
Member
Registered: 2013-04-29
Posts: 270

Re: Any more solutions?

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#7 2013-06-24 03:49:45

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 14,348
Website

Re: Any more solutions?

I think you just programmed it


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#8 2013-06-24 03:51:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,665

Re: Any more solutions?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#9 2013-06-25 03:38:17

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 14,348
Website

Re: Any more solutions?

What is it?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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