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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,760
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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'
I'm not crazy, my mother had me tested.

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,190

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.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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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: 510

Re: Any more solutions?

Hello;

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,760
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'
I'm not crazy, my mother had me tested.

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

ElainaVW
Member
Registered: 2013-04-29
Posts: 510

Re: Any more solutions?

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,760
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'
I'm not crazy, my mother had me tested.

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,190

Re: Any more solutions?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Online

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,760
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'
I'm not crazy, my mother had me tested.

Offline

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