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Camillergt
@Camillergt
June 2022
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bonsoir j'ai un dm pour demain en math, pouvez vous m'aidez svp
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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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Mozi
1 / (1 + V5) = (1 - V5) / [(1 - V5)(1 + V5)] = (1 - V5) /(1-5)
je détaille ici un passage dans le calcul de 1 + 1/Phi
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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
je détaille ici un passage dans le calcul de 1 + 1/Phi