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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,936
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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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,584

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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: 306

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: 17,936
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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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

ElainaVW
Member
Registered: 2013-04-29
Posts: 306

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: 17,936
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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,584

Re: Any more solutions?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,936
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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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