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Lovemine
@Lovemine
April 2019
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1) Développer et réduire D (x).
2) Factoriser D (x).
3) Calculer D (1/2).
4) Résoudre D (x)=0.
Soit D (x)= (3x+2)*-(2+3x)(x+7)
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winner123
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Bonjour
D(x) = ( 3 x +2)² - ( 2 + 3 x)(x +7)
1) D(x) = 9 x² + 12 x + 4 - ( 2 x + 14 + 3 x² + 21 x)
d(x) = 9 x² + 12 x + 4 - 2 x + 14 - 3 x² - 21 x
d(x) = 6 x² - 11 x + 18
2) d(x) = (3 x +2) ² - ( 2 x² + 7 + 3 x² + 21 x)
d(x) = ( 3 x +2) ² - ( 5 x² + 21 x + 7)
d(x) = (3 x +2) ( 3 x + 2 - 5 x² - 21 x - 7)
d(x) = ( 3 x + 2) ( - 5 x² - 18 x - 5)
3) d(1/2) = ( 3/2 + 2) [ - 5(1/2)² - (18 x 1/2) - 5)
d(1/2) = (3/2 + 4/2) ( - 5/4 - 18/2 - 5)
d (1/2) = 7/2 ( - 5/4 - 36/4 - 20/4)
d(1/2) = 7/2 x - 61/4
d(1/2) = - 427/8
4) pour d(x) = 0 , l'un des 2 facteurs est nul
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Verified answer
BonjourD(x) = ( 3 x +2)² - ( 2 + 3 x)(x +7)
1) D(x) = 9 x² + 12 x + 4 - ( 2 x + 14 + 3 x² + 21 x)
d(x) = 9 x² + 12 x + 4 - 2 x + 14 - 3 x² - 21 x
d(x) = 6 x² - 11 x + 18
2) d(x) = (3 x +2) ² - ( 2 x² + 7 + 3 x² + 21 x)
d(x) = ( 3 x +2) ² - ( 5 x² + 21 x + 7)
d(x) = (3 x +2) ( 3 x + 2 - 5 x² - 21 x - 7)
d(x) = ( 3 x + 2) ( - 5 x² - 18 x - 5)
3) d(1/2) = ( 3/2 + 2) [ - 5(1/2)² - (18 x 1/2) - 5)
d(1/2) = (3/2 + 4/2) ( - 5/4 - 18/2 - 5)
d (1/2) = 7/2 ( - 5/4 - 36/4 - 20/4)
d(1/2) = 7/2 x - 61/4
d(1/2) = - 427/8
4) pour d(x) = 0 , l'un des 2 facteurs est nul