SOLUTION: In what bases , x, does (x+6) divide into (5x+6) without any remainder?

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Question 1134630: In what bases , x, does (x+6) divide into (5x+6) without any remainder?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In what bases , x, does (x+6) divide into (5x+6) without any remainder?
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In base 6, 5 = -1.
(5x+6) = -x+0 and (x+6) = x
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So (5x+6)/(x+6) = -x/x = -1 = 5 (in base 6)
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Cheers,
Stan H.
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