floor and frctional equation

stuart clark
Mesaje: 52
Membru din: Mie Mar 02, 2011 5:20 pm

floor and frctional equation

Mesaj de stuart clark »

(1) Find real values of $x$ which satisfy $\{x^2\}+\{x\} = 1$

where $\{x\} =$ fractional part of $x$

(2) find Natural number $n$ in $\displaystyle \lfloor \frac{n}{1!}\rfloor+\lfloor \frac{n}{2!}\rfloor+\lfloor \frac{n}{3!}\rfloor+...........+\lfloor \frac{n}{10!}\rfloor = 2012$

where $\lfloor x\rfloor =$ floor function of $x$

ex: $\lfloor 2.3\rfloor = 2$
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