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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2013-06-25 00:42:19

Agnishom
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Any more solutions?

Code:

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'
'Who are you to judge everything?' -Alokananda

#2 2013-06-25 00:44:39

bobbym
Administrator

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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.

#3 2013-06-25 00:45:26

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 2013-06-25 00:51:55

ElainaVW
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Re: Any more solutions?

Hello;

#5 2013-06-25 01:00:38

Agnishom
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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'
'Who are you to judge everything?' -Alokananda

#6 2013-06-25 01:06:18

ElainaVW
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Re: Any more solutions?

#7 2013-06-25 01:49:45

Agnishom
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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'
'Who are you to judge everything?' -Alokananda

#8 2013-06-25 01:51:28

bobbym
Administrator

Online

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.

#9 2013-06-26 01:38:17

Agnishom
Real Member
Award: Wink Sherlock

Online

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'
'Who are you to judge everything?' -Alokananda

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