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Sagot :

MOZI
V5 = racine carrée de 5

2. Phi^2 = (1 + V5)^2 / 4 = (1 + 5 + 2V5) /4 = (3 + V5) / 2 = 1 + (1 + V5)/2 = 1 + Phi

3. 1 + 1 / Phi = 1 + 2 / (1 + V5) = 1 + (2 * (1 - V5))/(1 -5) = 1 - (2 - 2V5) / 4

= (4 - 2 + 2V5) / 4 = (2 + 2V5) / 4 = (1 + V5)/2 = Phi

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