Daily Graph 1-04-09

{x}={2x}

4 Answers

9
Celestine preetham ·

x = integers only

3
msp ·

2x-[2x]=x-[x]

x=[x]-[x2]

x=0 for x[0,1/2)

x=-1 for x[1/2,1)

x=1 for x[-1/2,-1)

x=-1 for x(0,-1/2)

11
virang1 Jhaveri ·

62
Lokesh Verma ·

2x-[2x]=x-[x]

x=[2x]-[x]

so this says that x is an integer because the RHS is an integer

so we have [x]=x and [2x]=2x

hence we have that this is true for only integer values of x :)

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