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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 9 13 1 8 5 2 21

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by Fatum Altum

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