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

Toán Lớp 8: Giải phương trình a) |5x|=x+2 b)|-2x|=3x+4

Toán Lớp 8: Giải phương trình
a) |5x|=x+2
b)|-2x|=3x+4

Comments ( 2 )

  1. Lời giải :
    a) |5x|=x+2
    <=>\(\left[ \begin{array}{l}5x=x+2\\5x=-(x+2)\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}5x-x=2\\5x=-x-2\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}4x=2\\5x+x=-2\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}x=1/2\\6x=-2\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}x=1/2\\x=-1/3\end{array} \right.\) 
    Vậy phương trình có tập nghiệm S={1/2;-1/3}
    b)|-2x|=3x+4
    <=>\(\left[ \begin{array}{l}-2x=3x+4\\-2x=-3x-4\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}-2x-3x=4\\-2x+3x=-4\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}-5x=4\\x=-4\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}x=-4/5\\x=-4\end{array} \right.\) 
    Vậy phương trình có tập nghiệm S={-4/5;-4}

  2. a)|5x|=x+2
    ⇔\(\left[ \begin{array}{l}5x=x+2\\5x=-x-2\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}4x=2\\6x=-2\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=1/2\\x=-1/3\end{array} \right.\) 
    b)|-2x|=3x+4
    ⇔\(\left[ \begin{array}{l}-2x=3x+4\\-2x=-3x-4\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}-5x=4\\x=-4\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=-4/5\\x=-4\end{array} \right.\) 

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

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