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#1 2020-08-21 12:59:59

Knewlogik
Member
Registered: 2020-05-11
Posts: 18

Squaring numbers without the number

1 + 1= 2  1 - 1=0  1 * 1 is 1 and 1 divided by 1 is 1 take all four answers and add them together and you get four. Four is the first square, two times two equals four...... Now two plus two is four 2 - 2 is zero though 2 * 2 is 4 2 / 2 x 1... When adding a squared number 3 * 3you could do this for any number and it'll give you the square up the following number

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#2 2020-08-21 19:26:49

Bob
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Registered: 2010-06-20
Posts: 8,908

Re: Squaring numbers without the number

hi Knewlogik

How interesting!  But can you prove it always works?

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2020-08-23 05:56:05

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,073

Re: Squaring numbers without the number

Knewlogik wrote:

1 + 1= 2  1 - 1=0  1 * 1 is 1 and 1 divided by 1 is 1 take all four answers and add them together and you get four. Four is the first square, two times two equals four...... Now two plus two is four 2 - 2 is zero though 2 * 2 is 4 2 / 2 x 1... When adding a squared number 3 * 3you could do this for any number and it'll give you the square up the following number

Can you state this in clearer terms? It is... a little hard to comprehend.

Last edited by Mathegocart (2020-08-23 05:56:15)


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#4 2020-08-23 11:16:29

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,653

Re: Squaring numbers without the number

Hi Bob;

But can you prove it always works?

I found a proof for 0<x<0, but it doesn't quite satisfy 'always'. smile

Last edited by phrontister (2020-08-23 15:03:30)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#5 2020-08-23 19:22:03

Bob
Administrator
Registered: 2010-06-20
Posts: 8,908

Re: Squaring numbers without the number

hi Phro,

As you've used less than signs rather than less than or equal, your set of values is very small indeed.

Mathegocart

If I show you my proof you'll understand this, I think.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#6 2020-08-24 00:06:37

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,653

Re: Squaring numbers without the number

Hi Bob;

phrontister wrote:

0<x<0

Looks like I messed up there.

I meant that x is non-zero, either positive or negative.

Last edited by phrontister (2020-08-24 15:17:10)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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