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Thread: Algebra on Venus !

20030505, 04:08 #1
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Algebra on Venus !
<img src=/S/alien.gif border=0 alt=alien width=14 height=15> <img src=/S/alien.gif border=0 alt=alien width=14 height=15> <img src=/S/alien.gif border=0 alt=alien width=14 height=15> <img src=/S/alien.gif border=0 alt=alien width=14 height=15> <img src=/S/alien.gif border=0 alt=alien width=14 height=15>
The first expedition to Venus found only the ruins of a civilization. The explorers were able to translate a Venusite equation as follows:
<font color=blue>5x^2  50x + 125 = 0
x = 5 or 8.</font color=blue>
This was strange mathematics. The value x = 5 seems legitimate enough but x = 8 required some explanation. If the Venusite number system developed in a manner similar to ours, how many fingers would you say the Venusites had ? Ricky

20030505, 06:56 #2
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Re: Algebra on Venus !
<span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>13 fingers. In any number system, the equation can be simplified to x^2  10x + ... = 0. Here, 10 does not stand for "ten", but for the base of the Venusian number system. Since 5 and 8 are the solutions, the equation can be written as (x  5)(x  8) = 0. So 5 + 8 = 10 in the Venusian number system. Assuming that the base of their number system is the number of fingers, we arrive at 13 fingers.</font color=yellow></span hi>

20030505, 12:59 #3
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Re: Algebra on Venus !
You should see 'em on the piano! <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>
 Ricky