Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #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

Offline

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

Bob
Registered: 2010-06-20
Posts: 8,914

### 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

Offline

## #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)

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

Offline

## #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'.

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

Offline

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

Bob
Registered: 2010-06-20
Posts: 8,914

### 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

Offline

## #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

Offline