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Sagot :

VINS

bonjour

A = 8 x - 12 et B = ( x + 4 ) ( 2 x - 6 )

1 ) tu remplaces x par les valeurs données

2 ) A  = 0

8 x - 12 = 0

8 x = 12

x = 12/8 = 3/2

3 )  tu remplaces

4 ) B = 0

( x + 4 ) ( 2 x - 6 ) = 0

x = - 4 ou 6/2 = 3

S ( - 4 ; 3 )

5 ) A = 4 ( 2 x - 3 )

6)  B  = 2 x² - 6 x + 8 x - 24 = 2 x² + 2 x - 24  

Réponse :

Explications étape par étape :

Bonjour

A = 8x - 12 et b = (x + 4)(2x - 6)

1) x = 3

A = 8 (3) - 12 = 24 - 12 = 12

x = - 1

A 8 (-1) - 12 = - 8 - 12 = - 20

2)

A = 0 ⇒ 8x - 12 = 0 ⇒8x = 12⇒x = 12/8 = (3×4)/(2×4) = 3/2

A = 0 pour x = 3/2

S = {3/2}

3)

x = 3

B = (3+ 4 ) (2(3) -6) = 7 × (6 - 6) = 7×0 = 0

x = - 1

B = ((-1) + 4)(2 (-1) - 6) = (- 1 + 4)(-2 - 6)= 3 × (-8) = -24

4)

B = 0 ⇒ (x + 4) (2x - 6) = 0

soit x + 4 = 0 ou 2x - 6 = 0

soit x = -4 ou 2x = 6

soit x = - 4 ou x = 6/2

soit x = - 4 ou x = 3

S ={ - 4; 3}

5) A = 8x - 12 = 4 × 2x - 4 ×3 = 4 (2x -3)

6) B = (x + 4) (2x - 6) = 2x² - 6x + 8x - 24 = 2x² + 2x - 24

B = 2x² + 2x - 24

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