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

Toán Lớp 8: c) x^2 – 8x + 16 = 3x.(x – 4) b) x(x – 3) – (3 – x) = 0 d) (x^2 – 2x)^2 –x^2 + 2x – 6 = 0

Toán Lớp 8: c) x^2 – 8x + 16 = 3x.(x – 4)
b) x(x – 3) – (3 – x) = 0
d) (x^2 – 2x)^2 –x^2 + 2x – 6 = 0

Comments ( 1 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    c)x^2-8x+16=3x(x – 4)
    <=>x^2-8x+16=3x^2-12x
    <=>x^2-8x+16-3x^2+12x=0
    <=>−2x^2+4x+16=0
    <=>−x^2+2x+8=0
    <=>(-x^2+4x)+(−2x+8)=0
    <=>−x(x−4)−2(x−4)=0
    <=>(x−4)(−x−2)=0
    <=> \(\left[ \begin{array}{l}x−4=0⇔x=4\\−x−2=0⇔x=-2\end{array} \right.\)
    Vậy x∈{4;−2}
     
    b)x(x-3)-(3-x)=0
    <=>x^2−3x−3+x=0
    <=>x^2−2x−3=0
    <=>(x−3)(x+1)=0
    <=> \(\left[ \begin{array}{l}x−3=0⇔x=3\\x+1=0⇔x=-1\end{array} \right.\)
    Vậy x∈{3;−1}
     
    d)(x^2-2x)^2-x^2+2x-6=0
    <=>x^4−4x^3+3x^2+2x−6=0
    <=>x^3-5x^2+8x−6=0
    <=>x^2-2x+2=0
    Không tồn tại x thoả mãn => Vô nghiệm

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