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Knewlogik

Member

Registered: 2020-05-11

Posts: 24

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Squaring numbers without the number

hi Knewlogik

How interesting!  But can you prove it always works?

Bob

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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

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: 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

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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The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,876

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'.

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

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"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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

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

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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

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,876

Re: Squaring numbers without the number

Hi Bob;

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)

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"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