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anonymous
 5 years ago
can somebody explain me to draw graphs of equations like [x]+[y]=5 as fast as possible?
anonymous
 5 years ago
can somebody explain me to draw graphs of equations like [x]+[y]=5 as fast as possible?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0[x] is the box function also known as the greatest integer function..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for starting ideas..i was thinking of plotting some particular points like (5,0),(0,5),(3,2),(2,3),(1,4),(4,1)..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then I would probably think of the nonintegers..for nonintegers say in [0,1) we have [x]=0 so [y]=5 is needed which means [5,6) is the range of y..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now, hence we get a rectangle with xcoordinates in [0,1) and ycoordinates in [5,6)..the whole region i.e. the whole set of points within the rectangle must be satisfying the equation..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0similarly for any x in [n,n+1) we get a rectangle with y in [n+5,n+6) and the points in/on the rectangle satisfy the equation...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for negative x say in [1,0), [x]=1 so [y]=6 which means y will vary from [6,7). So for x in [n,n+1)...(n being negative)...we have y in [n+5,n+6). Lets check this: if x lies in [2,1) we have, [x]=2 so [y]=7 which means y will vary from [7,8).[2+5,2+6)=[7,8)...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So our graph is done...:) But i seek more shorter ways..any tricks,insights,ideas :)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0If [x]=n, i.e n<=x<n+1 then [y]=5n. So 5n<=y < 4n

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0It's gonna look like the attached graph. :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can somebody explain how to factorize the equation x^4+x^32x^26ax4a^2=0
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