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

Toán Lớp 8: tìm x : a) (x + 1)^3 + (x – 2)^3 = 2x^3 + 2(2x – 1)^2 – 9 b) (3x^3+24) : (x+2) + (2x^3−54) : (x^2+3x+9) = 6

Toán Lớp 8: tìm x : a) (x + 1)^3 + (x – 2)^3 = 2x^3 + 2(2x – 1)^2 – 9
b) (3x^3+24) : (x+2) + (2x^3−54) : (x^2+3x+9) = 6

Comments ( 1 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a)(x+1)^3+(x-2)^3=2x^3+2(2x – 1)^2-9
    <=>x^3+3x^2+3x+1+x^3−6x^2+12x−8=2x^3+2(4x^2−4x+1)−9
    <=>2x^3−3x^2+15x−7=2x^3+8x^2−8x+2−9
    <=>2x^3−3x^2+15x−7−2x^3=8x^2−8x−7
    <=>−3x^2+15x−7=8x^2−8x−7
    <=>−3x^2+15x−7−8x^2=−8x−7
    <=>−11x^2+15x−7=−8x−7
    <=>−11x^2+15x−7+8x=−7
    <=>−11x^2+23x−7=−7
    <=>−11x^2+23x−7+7=0
    <=>−11x^2+23x=0
    <=>x(−11x+23)=0
    <=>\(\left[ \begin{array}{l}x=0\\−11x+23=0⇔x=\frac{23}{11}\end{array} \right.\)
    Vậy x∈{0;23/11}
     
    b)(3x^3+24)/(x+2)+(2x^3−54)/(x^2+3x+9)=6
    <=>(3(x+2)(x^2−2x+4)​)/(x+2)+(2(x−3)(x^2+3x+9)​)/(x^2+3x+9)=6
    <=>3(x^2−2x+4)+2(x−3)=6
    <=>3x^2−6x+12+2x−6=6
    <=>3x^2−4x+6=6
    <=>3x^2−4x=0
    <=>x(3x−4)=0
    <=>\(\left[ \begin{array}{l}x=0\\3x-4=0⇔x=\frac{4}{3}\end{array} \right.\)
    Vậy x∈{0;4/3}

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

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