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## #1 2009-08-17 14:40:13

MathsIsFun

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### Solving Equations

I have written a general page on Solving Equations

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

## #2 2009-08-17 16:06:39

bobbym

Online

### Re: Solving Equations

Hi MathsisFun;

Good page. Helped me a lot with the geometric representation.

Those 3 basic forms

(a+b)(a+b)
(a-b)(a-b)
(a+b)(a-b)

are also the basis for mental arithmetic. Lets take your example:

If you wanted to multiply 38 * 42 you could use that form with y=10.
Answer 16*100 - 4 = 1596 like magic.

For 63 * 57

63*57 = 36 * 100 -9 = 3591

With a little practice and algebra, you can do lots of arithmetic in your head.

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.