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Dupontremy
@Dupontremy
April 2019
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Soit f(x)= -x²-3x+2
Déterminer pour quelles valeurs de la variables x, on a : -8≤f(x)<3
Merci d'avance
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Commentaires (1)
Soit f(x)= -x²-3x+2
Déterminer pour quelles valeurs de la variables x, on a : -8≤f(x)<3
f(x)=-(x+3/2)²+17/4
-8≤
-(x+3/2)²+17/4 <3
-49/4 ≤ -(x+3/2)² <-5/4
5/4 < (x+3/2)² ≤ 49/4
rac(5)/2 < x+3/2 ≤ 7/2
(-3+rac(5))/2 < x ≤ 2
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Thanks 1
dupontremy
quesque rac(5) ??
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Déterminer pour quelles valeurs de la variables x, on a : -8≤f(x)<3
f(x)=-(x+3/2)²+17/4
-8≤ -(x+3/2)²+17/4 <3
-49/4 ≤ -(x+3/2)² <-5/4
5/4 < (x+3/2)² ≤ 49/4
rac(5)/2 < x+3/2 ≤ 7/2
(-3+rac(5))/2 < x ≤ 2