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

Toán Lớp 8: Tìm x ( giải chi tiết ) a) 2×2 + 3(x – 1)(x + 1) = 5x(x + 1) b) (x+2)^2 – (x−2)^2 = 8x c) (2x – 1)(x^2 – x + 1) = 2x^3 – 3x^2 + 2 d) (x

Toán Lớp 8: Tìm x ( giải chi tiết )
a) 2×2 + 3(x – 1)(x + 1) = 5x(x + 1)
b) (x+2)^2 – (x−2)^2 = 8x
c) (2x – 1)(x^2 – x + 1) = 2x^3 – 3x^2 + 2
d) (x + 1)(x + 2)(x + 5) – x^3 – 8x^2 + 7 = 0

Comments ( 2 )

  1. a)2x^2+3(x-1)(x+1)=5x(x+1)
    ⇔2x^2+3(x^2-1)=5x(x+1)
     ⇔2x^2+3x^2-3=5x^2+5x
    ⇔5x^2-5x^2-5x=3
    ⇔x=-3/5
    Vậy x=-3/5
    b)(x+2)^2-(x-2)^2=8x
    ⇔[x+2-(x-2)](x+2+x-2)=8x
    ⇔(x+2-x+2)2x=8x
    ⇔4.2x=8x
    ⇔8x=8x
    Vậy phương trình có vô số nghiệm
    c)(2x-1)(x^2-x+1)=2x^3-3x^2+2
    ⇔2x^3-2x^2+2x-x^2+x-1=2x^3-3x^2+2
    ⇔2x^3-3x^2+3x-1=2x^3-3x^2+2
    ⇔2x^3-3x^2-2x^3+3x^2+3x=2+1
    ⇔3x=3
    ⇔x=1
    Vậy x=1
    Ý d mình làm trong hình nhé.

    toan-lop-8-tim-giai-chi-tiet-a-22-3-1-1-5-1-b-2-2-2-2-8-c-2-1-2-1-2-3-3-2-2-d

  2. a)
    2x^2+3(x-1)(x+1)=5x(x+1)
    <=>2x^2+3(x^2-1)=5x^2+5x
    <=>2x^2+3x^2-3=5x^5+5x
    <=>5x^2-3=5x^2+5x
    <=>5x=-3
    <=>x=-3/5
    Vậy S={-3/5}
    $\\$
    b)
    (x+2)^2-(x-2)^2=8x
    <=>(x+2+x-2)(x+2-x+2)=8x
    <=>4.2x=8x
    <=>8x=8x
    Vậy phương trình có nghiệm luôn đúng với mọi x.
    $\\$
    c)
    (2x-1)(x^2-x+1)=2x^3-3x^2+2
    <=>2x^3-3x^2+3x-1=2x^3-3x^2+2
    <=>2x^3-2x^3-3x^2+3x^2+3x=2+1
    <=>3x=3
    <=>x=1
    Vậy S={1}
    $\\$
    d)
    (x+1)(x+2)(x+5)-x^3-8x^2+7=0
    <=>x^3+8x^2+17x+10-x^3-8x^2+7=0
    <=>(x^3-x^3)+(8x^2-8x^2)+17x+7+10=0
    <=>17x=-17
    <=>x=-1
    Vậy S={-1}
     

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