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#1 2009-08-16 16:40:13

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,560

Solving Equations

I have written a general page on Solving Equations

Feedback welcome ... please smile


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

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#2 2009-08-16 18:06:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 93,925

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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