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"Aha Algebra"

Master_Q

GROUP: Members

POSTS: 1113

Report this Dec. 30 2002, 9:51 pm

"Aha Algebra"

You are probably looking in question at the title of this topic.
I was reading up on some mathematics history in ancient times and specifically at the Egyptians. It is amazing that an old civilization with there math and mainly things like the pyramids that they have built is still extremely praised and reviewed. The Egyptians are arguably the most respected ancient civilization (and with good reason).

Understanding of algebra goes back very far. In AD 825 al-Khowarizimi of Bagdad was the first to write an algebra text book. Civilizations like the Babylonians, Hindus, Egyptians, and so on really studied math.

The Egyptians were mainly focused on linear equations.
(Linear equations are first degree polynomials in standard form its ax+by=c and it is usually written in y=mx+b or slope intercept form when you graph it.)

On an Egyptian papyrus that is called the Rhind Papyrus [named after the person that found it] had some basic linear algebra on it. There unknown variable or which we usually use "x" was called "aha".

The first (I think) problem on there was: x + (x / 7) = 19
So on it said "Aha, its whole, its seventh, it makes 19."
So ’aha’ as x as a whole . . . x
*its* seventh . . .. + (x/7)
it makes 19 . . . 19

So when you put it together you get the linear equation I have shown above!

Instead of me just answering what "aha" equals I let someone else.
So the first person to solve the Egyptian problem is the winner of pride! And I’ll tell if you got it correct or not.

It’s an interesting thing to look into. Looking at the past math and seeing it evolve and develop gives you a good apprehension/understanding for math.

Can you solve for "aha"?


Happy Holidays
Master Q
StarTrek_Master_Q@yahoo.com

doctortobe

GROUP: Members

POSTS: 296

Report this Dec. 31 2002, 12:03 am

I got the answer which is quite amazing seeing as how I’m horrible at math. I personally agree with whoever said that math was a member of the "axis of evil" just because of all the headaches it’s given me in the past!

The answer is
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16.625 (actually that answers a bit off)

Master_Q

GROUP: Members

POSTS: 1113

Report this Jan. 01 2003, 1:14 pm

Good job!


For anyone that was having trouble with it or just does not know how to solve this then:

x+(x/7)=19
First off you have to know that x/7 = (1/7)x and that x alone is the same as 1x
So add like terms (7/7)x + (1/7)x . . . (8/7)x = 19
Then 19 * (7/8)
And we get 133/8 = 16.625!



"Poor teaching leads to the inevitable idea that the subject (mathematics) is only adapted to peculiar minds, when it is the one universal science and the one whose . . . ground rules are taught us almost in infancy and reappear in the motions of the universe."
-H.J.S. Smith


Happy Holidays - - 2003
Master Q
StarTrek_Master_Q@yahoo.com

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