Greatest Integer function.

$Q:$\Rightarrow$ Find value of $x$ which Satisfy The equation [x[x]]=1$\\\\ $Where $[x]$ Denote Greatest Integer function.

1 Answers

106

Asish Mahapatra ·2010-12-02 19:03:47

[x[x]] = 1
=> x[x] Îµ [1,2)
If x Îµ [1,2) then [x] = 1 and hence satisfies.
for all x >= 2 we get no solution

Lets look at negative x.
For x = -1 is the only solution

So, x Îµ [1,2) U {-1}

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