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

Toán Lớp 8: Tìm x, y biết : 1) 3x +2(5-x) = 0 2) x^3 -4x =0 3) x^2 -4xy + 5y^2 – 10y+ 25 =0

Toán Lớp 8: Tìm x, y biết :
1) 3x +2(5-x) = 0
2) x^3 -4x =0
3) x^2 -4xy + 5y^2 – 10y+ 25 =0

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
     $1, \ 3x + 2(5-x)=0$
    $↔ 3x+10-2x=0$
    $↔ x+10=0$
    $↔ x=-10$
     $2, \  x^3-4x=0$
    $↔ x(x^2-4)=0$
    $↔ x(x-2)(x+2)=0$
    $↔ \left[ \begin{array}{l}x=0\\x=2\\x=-2\end{array} \right.$
     $3, \ x^2-4xy+5y^2-10y+25=0$
    $↔ (x^2-4xy+4y^2)+(y^2-10y+25)=0$
    $↔ (x-2y)^2+(y-5)^2=0$
    $↔ \begin{cases}x-2y=0\\y-5=0\end{cases}$
    $↔ \begin{cases}x=10\\y=5\end{cases}$

  2. 1) 3x + 2 ( 5 – x ) = 0
    ⇔ 3x + 10 – 2x = 0
    ⇔ x = – 10
    Vậy x = – 10
    2) x^3 – 4x = 0
    ⇔ x ( x^2 – 4 ) = 0
    ⇔ x [ ( x – 2 ) ( x + 2 ) ] = 0
    ⇔ \(\left[ \begin{array}{l}x=0\\x-2=0\\x+2=0\\\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=0\\x=2\\x=-2\end{array} \right.\) 
    Vậy x = 0 ; x = 2 ; x = – 2
    3) x^2 – 4xy + 5y^2 – 10y + 25 = 0
    ⇔ ( x – 2y )^2 + ( y – 5 )^2 = 0
    ⇔ $\left \{ {{x-2y=0} \atop {y-5=0}} \right.$ 
    ⇔ $\left \{ {{x=10} \atop {y=5}} \right.$ 
    Vậy x = 10 ; y = 5

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

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