Asked by Kaur
In base x system , 1/5 and (bar on 17)0.17 are numerals for the same number . Find x.
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Answers
Answered by
oobleck
just as in base 10 .<u>17</u> = 17/99 = 17/(10^2-1)
in base n,
.<u>17</u> = (x+7)/(x^2-1) = 1/5
x = 9
check: .<u>17</u><sub><sub>9</sub></sub> = 16/80 = 1/5
in base n,
.<u>17</u> = (x+7)/(x^2-1) = 1/5
x = 9
check: .<u>17</u><sub><sub>9</sub></sub> = 16/80 = 1/5
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