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January 8th, 2014, 07:26 AM   #1
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I invented a new maths squaring formula

(x)2+x+x+1=(x+1)2
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January 8th, 2014, 10:54 AM   #2
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Re: I invented a new maths squaring formula

Quote:
Originally Posted by Mehul1201a
(x)2+x+x+1=(x+1)2
Start showing powers like this: x^2 + x + x + 1 = (x + 1)^2

Why is that "new" ?
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January 8th, 2014, 07:44 PM   #3
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Re: it is new

Because its not either in any book nor on found on internet
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January 8th, 2014, 09:19 PM   #4
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Re: it is new

Quote:
Originally Posted by Mehul1201a
Because its not either in any book nor on found on internet
Well, x + x = 2x, so x^2 + x + x + 1 is same as x^2 + 2x + 1.

That's like saying that using 5 + 5 instead of 10 is "new".
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January 10th, 2014, 04:34 PM   #5
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Re: I invented a new maths squaring formula

How did you arrived at this formula? Maybe that's interesting...
For example, could you arrive at a formula for (x+2) or (x-1) using the same reasoning?

And if so, how would you write the general formula (x+y)?
Also, look at other interesting formulas that involves products like that!

For example:
The product x*(x+1) is equal to x+x, that can be show to be the sum of the first n even numbers:
3+3 = 2 + 4 + 6
12 = 12
The numbers on the form x-1 can be shown to be written as the product (x-1)(x+1).
That fact alone can be used to shown that every positive number greater than two of the form x-1 is a composite number:
63 = 64-1 = (8-1)(8+1) = 7*9

What you discovered isn't new, but it can become a nice exercice! Try to apply the basic properties of real numbers and you won't have problems solving all this...
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