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

Toán Lớp 8: Tìm x a) x2 + 3x – ( 2x+ 6) = 0 b) 5x+ 20- x2- 4x =0 c) 3×2- 3x+ 2×3-2×2= 0 d) x3+ 27= -x2+9

Toán Lớp 8: Tìm x a) x2 + 3x – ( 2x+ 6) = 0 b) 5x+ 20- x2- 4x =0 c) 3×2- 3x+ 2×3-2×2= 0 d) x3+ 27= -x2+9

Comments ( 1 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    a) x^2 + 3x – (2x + 6) = 0
    x^2 + 3x – 2x – 6 = 0
    (x^2 + 3x) – (2x + 6) = 0
    x(x + 3) – 2(x + 3) = 0
    (x + 3)(x – 2) = 0
    => x + 3 = 0 hoặc x – 2 = 0
    => x = – 3 hoặc x = 2
    —————————–
    b) 5x+ 20- x^2- 4x =0
    (5x + 20) – (x^2 + 4x) = 0
    5(x + 4) – x(x + 4) = 0
    (x + 4)(5 – x) = 0
    => x + 4 = 0 hoặc 5 – x = 0
    => x = -4 hoặc x = 5
    —————————–
    c) 3x^2 – 3x + 2x^3 – 2x^2 = 0
    (3x^2 – 3x) + (2x^3 – 2x^2) = 0
    3x(x – 1) + 2x^2 ( x – 1) = 0
    (x – 1)(3x + 2x^2) = 0
    x(x – 1)(3 + 2x) = 0
    => x = 0 hoặc x – 1 = 0 hoặc 3 + 2x = 0
    => x = 0 hoặc x = 1 hoặc x = -3/2
    —————————–
    d) x^3+ 27= – x^2 + 9
    (x + 3)(x^2 – 3x + 9) = – (x^2 – 9)
    (x + 3)(x^2 – 3x + 9) = – (x – 3)(x + 3)
    (x + 3)(x^2 – 3x + 9) + (x -3)(x + 3) = 0
    (x + 3)(x^2 – 3x + 9 + x – 3) = 0
    (x + 3)(x^2 – 2x + 6) = 0
    Vì x^2 – 2x + 6
    = x^2 – 2x + 1 + 5
    = (x^2 – 2x + 1) + 5
    = (x – 1)^2 + 5 >= 5 > 0 AA x
    => x + 3 = 0
    => x = -3
    #SunHee

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

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