Mathématiques

Question





Bonjour URGENT 19pts
LES( / )SONT DES FRACTIONS
LES (x) SONT DES LETTRES


A=2x-1/2-4x-5/8=0
B= 3x-5/x-2=3/2
C= 8xcarré-2x(4x-2)=3x-2
D=4x-2/4-7x-2/6=3/2
E= 2x-1/4=4x-2/2
F= (3x-1)(2x-3)-6xcarré+350
G= -(3x-4)+4(2x-1)=3x
H= 4*(7x-2)-2(x-2)=0
I= x-1/2-x+4/12=3/2

1 Réponse

  • A) 2x - 1/2 - 4x - 5/8 = 0
    -2x = 4/8 + 5/8
    -2x = 9/8
    x = -9/16

    B) 3x - 5/x - 2 = 3/2
    3x^2 - 5 - 2x = 3x/2
    6x^2 - 10 - 4x = 3x
    6x^2 - 7x - 10 = 0

    Delta = (-7)^2 - 4 * 6 * (-10)
    Delta = 49 + 240
    Delta = 289
    V(delta) = 17 > 0

    Donc deux solutions :
    X1 = (7 - V(delta)) / 2 = (7-17)/2 = -10/2 = (-5)
    X2 = (7 + V(delta)) / 2 = (7+17)/2 = 24/2 = 12

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

    D) 4x - 2/4 - 7x - 2/6 = 3/2
    -3x - 1/2 - 2/6 = 3/2
    -3x = 9/6 + 2/6 + 3/6
    -3x = 14/6
    -3x = 7/3
    x = - 7/9

    E) 2x - 1/4 = 4x - 2/2
    -1/4 + 4/4 = 4x - 2x
    3/4 = 2x
    x = 3/8

    F) (3x - 1)(2x - 3) - 6x^2 + 350 = 0 ?!?!
    6x^2 - 9x - 2x + 3 - 6x^2 + 350 = 0
    -11x + 347 = 0
    11x = 347
    x = 347/11

    G) -(3x - 4) + 4(2x - 1) = 3x
    -3x + 4 + 8x - 4 = 3x
    5x - 3x = 0
    2x = 0
    x = 0

    H) 4(7x - 2) - 2(x - 2) = 0
    28x - 8 - 2x + 4 = 0
    26x = 4
    x = 4/26
    x = 2/13

    I) x - 1/2 - x + 4/12 = 3/2
    -6/12 + 4/12 = 18/12
    -2/12 = 18/12
    Impossible ! Il n'y a pas une erreur dans l'énoncé ?

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