Originally Posted by
integerfan is the question
302/20=12.1 proper?
i tried to take x as the base and trace the division algebraically:
( number 302 implies x>3 for the digit 3 appears in some number-----inference 1)
x + 2 + x^-1
----------------------------------
2x + 0 ) 3x^2 + 2
, :
, :
is what i expected to trace.
Following,
x
----------------------------------
2x + 0 ) 3x^2 + 2
, 2x^2
, ---------------
, x^2 comparing with ordinary arithmetic way,
x^2 must be lesser than 2x ( otherwise the quotient would be 2x or more ).
However, x^2 < 2x is true only when x=1 which is a contradiction with inference 1
what is going wrong here?
: