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shadys
@shadys
June 2021
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Aidez-moi s'il vous plait!
Leçon de la logique
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x+y=1 donc y=1-x
donc 4xy=4x(1-x)=-4x²+4x
On peut étudier le signe de 1-(-4x²+4x) et montrer qu'il est positif ou nul
1-(-4x²+4x)=4x²-4x+1=4(x²-x+1/4)=(x-1/2)²≥0
donc 4xy≤1
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x+y=1 donc y=1-x
donc 4xy=4x(1-x)=-4x²+4x
On peut étudier le signe de 1-(-4x²+4x) et montrer qu'il est positif ou nul
1-(-4x²+4x)=4x²-4x+1=4(x²-x+1/4)=(x-1/2)²≥0
donc 4xy≤1