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Pomme22
@Pomme22
May 2019
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6 Bonjour,
je souhaiterais savoir comment factoriser (x + 6 ) au carre - 49
ainsi que R =(3x-2) au carré + (3x-2)(x+3)
et comment resoudre R = 0
Merci d'avance
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Mytrololo
Verified answer
Bonsoir,
R= (3x-2)²+(3x-2)(x+3)
R= (3x-2)((3x-2+x+3)
R = (3x-2)(4x+1)
(3x-2)(4x+1)=0
3x-2=0
x=2/3
4x+1=0
4x=-1
x=-1/4
1 votes
Thanks 0
Commentaires (3)
Bonsoir ,
1/
(x+6)² - 49
= (x+6)² - 7²
= [ (x+6) - 7 ] [ (x+6) + 7 ]
= [ x + 6 - 7 ] [ x + 6 + 7 ]
=
(x-1) (x+13)
2/
R = (3x-2)² + (3x-2) (x+3)
R = (3x-2) [ (3x-2) + (x+3) ]
R = (3x-2) [ 3x - 2 + x + 3 ]
R = (3x-2) (4x+1)
3/
(3x-2) (4x+1) = 0
soit 3x-2 = 0 ou 4x+1 = 0
3x = 2 4x = -1
x = 2/3
x = -1/4
2 votes
Thanks 2
Pomme22
Merci il semblerait que se soit plus cohérent ♥
Mytrololo
oups moi jlai fait vite fait xD
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Lista de comentários
Verified answer
Bonsoir,R= (3x-2)²+(3x-2)(x+3)
R= (3x-2)((3x-2+x+3)
R = (3x-2)(4x+1)
(3x-2)(4x+1)=0
3x-2=0
x=2/3
4x+1=0
4x=-1
x=-1/4
1/
(x+6)² - 49
= (x+6)² - 7²
= [ (x+6) - 7 ] [ (x+6) + 7 ]
= [ x + 6 - 7 ] [ x + 6 + 7 ]
= (x-1) (x+13)
2/
R = (3x-2)² + (3x-2) (x+3)
R = (3x-2) [ (3x-2) + (x+3) ]
R = (3x-2) [ 3x - 2 + x + 3 ]
R = (3x-2) (4x+1)
3/
(3x-2) (4x+1) = 0
soit 3x-2 = 0 ou 4x+1 = 0
3x = 2 4x = -1
x = 2/3 x = -1/4