Mathématiques

Question

Bonjour, pouvez vous me donner/ m'aider aux 2 premiers exercices?! Merci d'avance! (voir pieces-jointes)

Bonjour, pouvez vous me donner/ m'aider aux 2 premiers exercices?! Merci d'avance! (voir pieces-jointes)

1 Réponse

  • 1) 5x - (x + 3 ) = 3 ( x - 2 )

    5x - ( x + 3 ) = 3x - 6

    5x - x + 3 - 3x + 6 = 0

    x + 9 = 0

    x = - 9

     

    2) - (-2x + 8) - 5x (3x + 4) = -5 ( 3x^2 - 2)

    2x - 8 - 15x^2 - 20x = -15x^2 + 10

    2x - 8 - 15x^2 - 20x + 15x^2 - 10 = 0

    2x - 8 20x -10 = 0

    -18x -18 = 0

    x = 1

     

    3) x/2 - 5 = -7/2 + 2x

    x/2 - 5 + 7/2 - 2x = 0

    x/2 - 4x/2 - 5 + 7/2 = 0

    x - 4x /2 - 10/2 + 7/2 = 0

    -3x/2 - 17/2 = 0

    -3x - 17 = 0

    x = -17/3

     

    4) x^2 - 21 = 4

    x^2 - 21 - 4 = 0

    x^2 - 25 = 0

    supposant x^2 = 2x

    alrs on a : 2x = 25

    x = 25/2

    x = 12.5

     

    5) ( 3x + 2 )^2 - 16 = 0

    9x^2 + 12x + 4 - 16 = 0

    9x^2 + 12x - 12 = 0

    si x^2 = 2x alrs on a : 9*2x + 12x - 12 = 0

    18x + 12x - 12 = 0

    30x - 12 = 0

    30x = 12

    x = 2/5