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

Toán Lớp 8: Mk đg cần gấp mn giúp vs (hứa vote 5 sao) Bài 1:Tìm x, biết a) ( 2x -1) (x – 3) + 4x^2 = 1 b) x^3 – 4x^2 – x + 4 = 0 c) 3x^2 – 5x – 8 =

Toán Lớp 8: Mk đg cần gấp mn giúp vs (hứa vote 5 sao)
Bài 1:Tìm x, biết
a) ( 2x -1) (x – 3) + 4x^2 = 1
b) x^3 – 4x^2 – x + 4 = 0
c) 3x^2 – 5x – 8 = 0

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    a) (2x-1)(x-3)+4x^2=1
    <=>2x^2-6x-x+3+4x^2=1
    <=>6x^2-7x+3-1=0
    <=>6x^2-7x+2=0
    <=>6x^2-3x-4x+2=0
    <=>3x(2x-1)-2(2x-1)=0
    <=>(2x-1)(3x-2)=0
    <=> \(\left[ \begin{array}{l}2x-1=0\\3x-2=0\end{array} \right.\)
    <=>\(\left[ \begin{array}{l}x=\dfrac{1}{2}\\x=\dfrac{2}{3}\end{array} \right.\)
    Vậy S={1/2;2/3}
    b) x^3-4x^2-x+4=0
    <=>x^2(x-4)-(x-4)=0
    <=>(x-4)(x^2-1)=0
    <=>(x-4)(x-1)(x+1)=0
    <=>[(x-4=0),(x-1=0),(x+1=0):}
    <=>[(x=4),(x=1),(x=-1):}
    Vậy S={4;1;-1}
    c) 3x^2-5x-8=0
    <=>3x^2+3x-8x-8=0
    <=>3x(x+1)-8(x+1)=0
    <=>(x+1)(3x-8)=0
    <=>\(\left[ \begin{array}{l}x+1=0\\3x-8=0\end{array} \right.\)
    <=>\(\left[ \begin{array}{l}x=-1\\x=\dfrac{8}{3}\end{array} \right.\)
    Vậy S={-1;8/3}.
     

  2. Giải đáp:
     a) S={1/2;3/2}
    b) S={4;+-1}
    c) S={-1;8/3}
    Lời giải và giải thích chi tiết:
     a) (2x-1)(x-3)+4x^2=1
    <=> 2x^2-6x-x+3+4x^2-1=0
    <=> 6x^2-7x+2=0
    <=> 6x^2-3x-4x+2=0
    <=> 3x(2x-1)-2(2x-1)=0
    <=> (2x-1)(3x-2)=0
    <=> [(2x-1=0),(3x-2=0):}<=>\(\left[ \begin{array}{l}x=\dfrac{1}{2}\\x=\dfrac{2}{3}\end{array} \right.\) 
    Vậy S={1/2;2/3}
    b) x^3-4x^2-x+4=0
    <=> x^2(x-4)-(x-4)=0
    <=> (x-4)(x^2-1)=0
    <=> (x-4)(x-1)(x+1)=0
    <=> [(x-4=0),(x-1=0),(x+1=0):}<=>[(x=4),(x=1),(x=-1):}
    Vậy S={4;+-1}
    c) 3x^2-5x-8=0
    <=> 3x^2+3x-8x-8=0
    <=> 3x(x+1)-8(x+1)=0
    <=> (x+1)(3x-8)=0
    <=> [(x+1=0),(3x-8=0):}<=>\(\left[ \begin{array}{l}x=-1\\x=\dfrac{8}{3}\end{array} \right.\) 
    Vậy S={-1;8/3}

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

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