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

Toán Lớp 8: Tìm x a. x2 -25 –( x+5 ) = 0 b. 3x(x-2) – x+ 2 = 0 c. x( x – 4) – 2x + 8 = 0 d. 3x (x + 5) – 3x – 15=0

Toán Lớp 8: Tìm x
a. x2
-25 –( x+5 ) = 0
b. 3x(x-2) – x+ 2 = 0
c. x( x – 4) – 2x + 8 = 0
d. 3x (x + 5) – 3x – 15=0

Comments ( 2 )

  1. Giải đáp+ Lời giải và giải thích chi tiết:
    a) $x^2-25-(x+5)=0$
    $⇔ (x-5)(x+5)-(x+5)=0$
    $⇔ (x+5)(x-5-1)=0$
    $⇔ (x+5)(x-6)=0$
    ⇔\(\left[ \begin{array}{l}x+5=0\\x-6=0\end{array} \right.\) <=>\(\left[ \begin{array}{l}x=-5\\x=6\end{array} \right.\) 
    ⇒ $\text{Tập nghiệm Pt: S = { -5;6}}$

    b) $3x(x-2)-x+2=0$
    $⇔ 3x(x-2)-(x-2)=0$
    $⇔ (x-2)(3x-1)=0$
    ⇔\(\left[ \begin{array}{l}x-2=0\\3x-1=0\end{array} \right.\) <=>\(\left[ \begin{array}{l}x=2\\x=\dfrac{1}{3}\end{array} \right.\) 
    ⇒ $\text{ Tập nghiệm Pt: S= {2; 1/3}}$

    c) $x(x-4)-2x+8=0$
    $⇔ x(x-4)-2(x-4)=0$
    $⇔ (x-4)(x-2)=0$
    ⇔\(\left[ \begin{array}{l}x-4=0\\x-2=0\end{array} \right.\) <=>\(\left[ \begin{array}{l}x=4\\x=2\end{array} \right.\) 
    ⇒ $\text{ Tập nghiệm PT: S ={ 4;2}}$

    d) $3x(x+5)-3x-15=0$
    $⇔ 3x(x+5)-3(x+5)=0$
    $⇔ (x+5)(3x-3)=0$
    $⇔ 3(x+5)(x-1)=0$
    ⇔\(\left[ \begin{array}{l}x+5=0\\x-1=0\end{array} \right.\) <=>\(\left[ \begin{array}{l}x=-5\\x=1\end{array} \right.\) 
    ⇒ $\text{ Tập nghiệm Pt: S= { -5;1}}$
     

  2. a)x^2-25-(x+5)=0
    =>x^2-5^2-(x+5)=0
    =>(x-5)(x+5)-(x+5)=0
    =>(x+5)(x-5-1)=0
    =>(x+5)(x-6)=0
    =>$\left[\begin{matrix}x+5=0\\ x-6=0\end{matrix}\right.$
    =>$\left[\begin{matrix}x=-5\\x=6\end{matrix}\right.$
    b)3x(x-2)-x+2=0
    =>3x(x-2)-(x-2)=0
    =>(x-2)(3x-1)=0
    =>$\left[\begin{matrix} x-2=0\\ 3x-1=0\end{matrix}\right.$
    =>$\left[\begin{matrix} x=2\\ 3x=1\end{matrix}\right.$
    =>$\left[\begin{matrix} x=2\\ x=\dfrac{1}{3}\end{matrix}\right.$
    c)x(x-4)-2x+8=0
    =>x(x-4)-(2x-8)=0
    =>x(x-4)-2(x-4)=0
    =>(x-4)(x-2)=0
    =>$\left[\begin{matrix}x-4=0\\ x-2=0\end{matrix}\right.$
    =>$\left[\begin{matrix} x=4\\ x=2\end{matrix}\right.$
    d)3x(x+5)-3x-15=0
    =>3x(x+5)-(3x+15)=0
    =>3x(x+5)-3(x+5)=0
    =>(x+5)(3x-3)=0
    =>$\left[\begin{matrix} x+5=0\\ 3x-3=0\end{matrix}\right.$
    =>$\left[\begin{matrix} x=-5\\ 3x=3\end{matrix}\right.$
    =>$\left[\begin{matrix} x=-5\\ x=\frac{3}{3}\end{matrix}\right.$
    =>$\left[\begin{matrix} x=-5\\ x=1\end{matrix}\right.$

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