Mathématiques

Question

Bonjour sil vous plait qui peut maider
Mercii
A= (2x+1)2 - (3x-2)(2x+1)

Developper
Factoriser
Resoudre x=0
Resoudre x=3

1 Réponse

  • Bonjour


    A= (2x+1)2 - (3x-2)(2x+1)


    Developper

    A = 4x^2 + 4x + 1 - (6x^2 + 3x - 4x - 2)

    A = 4x^2 + 4x + 1 - 6x^2 + x + 2

    A = -2x^2 + 5x + 3


    Factoriser


    A = (2x + 1)(2x + 1 - 3x + 2)

    A = (2x + 1)(-x + 3)


    Resoudre x=0

    (2x + 1)(-x + 3) = 0
    2x + 1 = 0 ou -x + 3 = 0

    2x = -1 ou x = 3

    x = -1/2 ou x = 3


    Resoudre x=3


    -2x^2 + 5x + 3 = 3

    -2x^2 + 5x = 3 - 3

    -2x^2 + 5x = 0

    x(-2x + 5) = 0


    x = 0 ou -2x + 5 = 0

    x = 0 ou 2x = 5

    x = 0 ou x = 5/2

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