Sunday, 24 April 2016

logical deduction - What is the result of the equation?


Considering from $a$ until $z$:


$x = (x -a) \cdot (x -b) \cdot (x -c) \dots (x - z)$


What I want is the value of $x$


It´s something easy, but I could not find this here and I think it´s a nice puzzle.




Answer



if $x = \textrm{anything}\cdot(x-x)$ then $x$ has to be $0$


Without knowing the answer, if you start with an assumed value for each of the variables, regardless of the value you assume for any of the variables when you evaluate $x-x$ this would become $0$.


So regardless of other variables, if $x = \textrm{anything}\cdot(x-x)$ then $x$ has to be $0$


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