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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: Tìm x biết (2x-3)(x-2)=2x ²+8 (3x-5)(5x-7)=(5x+2)(3x-2)-2 6x-(2x-3)(3x+2)=1 Công thức (a+b) (c+d) =(ac+ad) +(bc+bd)

Toán Lớp 7: Tìm x biết
(2x-3)(x-2)=2x ²+8
(3x-5)(5x-7)=(5x+2)(3x-2)-2
6x-(2x-3)(3x+2)=1
Công thức (a+b) (c+d) =(ac+ad) +(bc+bd)
(a-b) (c-đ) =(ac-ad) – (bc+bd)

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    (2x-3)(x-2)=2x^2+8
    -> 2x^2 – 7x + 6 = 2x^2 + 8
    -> 2x^2 – 7x = 2x^2 + 2
    -> -7x = 2
    -> x = -2/7
    Vậy x \in {-2/7}
    (3x-5)(5x-7)=(5x+2)(3x-2)-2
    -> 15x^2 – 46x + 35 = 15x^2 – 4x – 6
    -> 15x^2 – 46x = 15x^2 – 4x – 41
    -> -46x = -4x – 41
    -> -42x = -41
    -> x = 41/42
    Vậy x\in{41/42}
    6x-(2x-3)(3x+2)=1
    -> 11x – 6x^2 + 6 = 1
    -> 11x – 6x^2 = -5
    -> x^2 – 11/6x = 5/6
    ->  x^2 – 11/6x + (-11/12)^2 = 5/6 + (-11/12)^2
    -> x^2 – 11/6x + 121/144 = 241/144
    -> (x-11/12)^2 = 241/144
    -> |x-11/12| = sqrt(241)/12
    TH1 :
    x – 11/12 = sqrt(241)/12
    -> x = (sqrt(241)+11)/12
    TH2 :
    x – 11/12 = -sqrt(241)/12
    -> x = (11-sqrt(241))/12

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222-9+11+12:2*14+14 = ? ( )

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