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Subject: Re: =?UTF-8?Q?R=C3=A9soudre=20cette=20=C3=A9galit=C3=A9?=
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Date: Tue, 06 Jun 23 07:23:22 +0000
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From: Richard Hachel
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Le 06/06/2023 à 08:09, robby a écrit :
> Le 06/06/2023 à 07:45, Python a écrit :
>> Si tu le fais en Python il vaut mieux utiliser le module fractions...
>
> sur un forum de math, quel interet de donner la réponse brute force,
> plutôt qu'un raisonnement ?
Je préfère le raisonnement de Robby qui en loupe un, plutôt que la
programmation qui ne cherche rien du tout.
Sinon:
(1/x)+(1/y)=1/10
(x+y)/xy=1/10
xy=10(x+y)
xy-10x-10y=0
x(y-10)-10y=0
x(y-10)-10 [y+10-10] =0
x(y-10)-10(y-10)-100=0
(x-10)(y-10)=100
ab=100
a ou b = {1,2,4,5,10,20,25,50,100}
x ou y = {11,12,14,15,20,30,35,60,110}
R.H.