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

Toán Lớp 8: tìm y biết : a,(5y^4-3y^3):2y^3= 1/2 b, (y^4-2y^2-8):(y-2)=0

Toán Lớp 8: tìm y biết :
a,(5y^4-3y^3):2y^3= 1/2
b, (y^4-2y^2-8):(y-2)=0

Comments ( 1 )

  1. Giải đáp:
    $\begin{array}{l}
    a)Dkxd:y \ne 0\\
    \left( {5{y^4} – 3{y^3}} \right):2{y^3} = \dfrac{1}{2}\\
     \Leftrightarrow 5{y^4}:2{y^3} – 3{y^3}:2{y^3} = \dfrac{1}{2}\\
     \Leftrightarrow \dfrac{5}{2}y – \dfrac{3}{2} = \dfrac{1}{2}\\
     \Leftrightarrow \dfrac{5}{2}y = \dfrac{1}{2} + \dfrac{3}{2} = 2\\
     \Leftrightarrow y = 2:\dfrac{5}{2}\\
     \Leftrightarrow y = \dfrac{4}{5}\\
    Vậy\,y = \dfrac{4}{5}\\
    b)Dkxd:y \ne 2\\
    \left( {{y^4} – 2{y^2} – 8} \right):\left( {y – 2} \right) = 0\\
     \Leftrightarrow {y^4} – 2{y^2} – 8 = 0\\
     \Leftrightarrow {y^4} – 4{y^2} + 2{y^2} – 8 = 0\\
     \Leftrightarrow \left( {{y^2} – 4} \right)\left( {{y^2} + 2} \right) = 0\\
     \Leftrightarrow {y^2} – 4 = 0\left( {{y^2} + 2 > 0} \right)\\
     \Leftrightarrow {y^2} = 4\\
     \Leftrightarrow y = 2;y =  – 2\\
    Vậy\,y = 2;y =  – 2
    \end{array}$

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

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