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

Toán Lớp 8: 1) 8x ³-12x ²+6x-5=0 2) 3x ³+3x ²+3x= -1 giải phương trình

Toán Lớp 8: 1) 8x ³-12x ²+6x-5=0
2) 3x ³+3x ²+3x= -1
giải phương trình

Comments ( 1 )

  1. Giải đáp:a)S={(\root{3}{4}+1)/2}.
    b)S={(-1)/(1+\root{3}{-2})}.
    Lời giải và giải thích chi tiết:
    1)8x^3-12x^2+6x-5=0
    <=>(2x)^3-3.(2x)^{2}.1+3.2x.1-1-4=0
    <=>(2x-1)^3-4=0
    <=>(2x-1)^3=4
    <=>2x-1=\root{3}{4}
    <=>2x=\root{3}{4}+1
    <=>x=(\root{3}{4}+1)/2
    Vậy S={(\root{3}{4}+1)/2}.
    2)3x^3+3x^2+3x=-1
    <=>3x^3+3x^2+3x+1=0
    <=>x^3+3x^2+3x+1+2x^3=0
    <=>(x+1)^3+2x^3=0
    <=>(x+1)^3=-2x^3
    <=>x+1=\root{3}{-2}x
    <=>x(1+\root{3}{-2})=-1
    <=>x=(-1)/(1+\root{3}{-2})
    Vậy S={(-1)/(1+\root{3}{-2})}.

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

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