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THavenger
@THavenger
April 2019
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Bjr je galère à faire cet exercice du niveau seconde, je met beaucoup de point en jeu, pouvez-vous m'aider svp? Merci d'avance
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trudelmichel
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Aire AEFG= X²
Aire FICH=
HC=10-x
Aire( FICH =(10-x)²=100+x²-20x
Aire colorée = x²+x²+100-20x=2x²-20x+100
Si Aire colorée <ou=58
2x²-20x+100< ou=58
2x²-20x+42< ou= 0
(2x-6)(x-7)=(2x²-6x-14x+42)= 2x²-20x+48
(2x-6)(x-7) < ou= 0 signe (2x-6)(x-7) = -
x - infini 3 7 + inf
2x-6 signe - 0 signe + signe +
x-7 signe - signe - 0 signe +
(2x-6)(x-7) signe + 0 signe - 0 signe +
d'où 3<OU= x<ou = 7 x appartient [3;7]
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Verified answer
Aire AEFG= X²Aire FICH=
HC=10-x
Aire( FICH =(10-x)²=100+x²-20x
Aire colorée = x²+x²+100-20x=2x²-20x+100
Si Aire colorée <ou=58
2x²-20x+100< ou=58
2x²-20x+42< ou= 0
(2x-6)(x-7)=(2x²-6x-14x+42)= 2x²-20x+48
(2x-6)(x-7) < ou= 0 signe (2x-6)(x-7) = -
x - infini 3 7 + inf
2x-6 signe - 0 signe + signe +
x-7 signe - signe - 0 signe +
(2x-6)(x-7) signe + 0 signe - 0 signe +
d'où 3<OU= x<ou = 7 x appartient [3;7]