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Fibonacci's problem

Algebra Level 3

If $x>0$ , $y>0$ , $z>0$ and $x+y+z=1$ , what is the min value of :

$\frac { 1 }{ x } +\frac { 1 }{ y }+\frac { 1 }{ z }$ ?

3 13 9 5 8 1 21 2

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by John Doe

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