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

Toán Lớp 8: giai phuong trinh x-3/x-2+ x+2/x =2

Toán Lớp 8: giai phuong trinh x-3/x-2+ x+2/x =2

Comments ( 2 )

  1.    x-3/x-2+x+2/x=2
    x(x-3)/x(x-2)+(x+2)(x-2)/x(x-2)=2(x+2)(x-2)/x(x-2)
    x(x-3)+(x+2)(x-2)=2(x+2)(x-2)
    x^2-3x+x^2-4=2(x^2-4)
    x^2-3x+x^2-4=2x^2-8
    x^2+x^2-2x^2-3x=-8+4
    -3x=-4
    x=-4/-3
    x=4/3
    Vậy S= {4/3}

  2. (x-3)/(x-2)+(x+2)/x=2 (ĐKXĐ : x \ne 2; x \ne 0)
    ⇔[x(x-3)]/[x(x-2)]+[(x+2)(x-2)]/[x(x-2)]=[2x(x-2)]/[x(x-2)]
    ⇒x(x-3)+(x+2)(x-2)=2x(x-2)
    ⇔x^(2)-3x+x^(2)-4=2x^(2)-4x
    ⇔2x^(2)-3x-4-2x^(2)+4x=0
    ⇔x-4=0
    ⇔x=4 text{(TM ĐKXĐ)}
    Vậy S={4}
     

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

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