\(x^2+4x+3=0\)
\(\Leftrightarrow x^2+x+3x+3=0\)
\(\Leftrightarrow x.\left(x+1\right)+3.\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right).\left(x+3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x+3=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=-3\end{cases}}}\)
Vậy x = -1 hoặc x = -3
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Ta có :
\(x^2+4x+3=0\)
\(\Rightarrow x^2+x+3x+3=0\)
\(\Rightarrow x\left(x+1\right)+3\left(x+1\right)=0\)
\(\Rightarrow\left(x+3\right)\left(x+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+3=0\\x+1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-3\\x=-1\end{cases}}}\)
Vậy ...
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\(x^2+4x+3=0\)
\(\Rightarrow x^2+2.2x+4-1=0\)
\(\Rightarrow\left(x+2\right)^2=1\)
\(\Rightarrow x+2=\orbr{\begin{cases}1\\-1\end{cases}}\)
\(\Rightarrow x=\orbr{\begin{cases}-1\\-3\end{cases}}\)
\(PT\Leftrightarrow x^2+x+3x+3=0\)
\(\Leftrightarrow x.\left(x+1\right)+3.\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+3\right)=0\)
\(\Leftrightarrow\hept{\begin{cases}x+1=0\\x+3=0\end{cases}\Rightarrow\hept{\begin{cases}x=-1\\x=-3\end{cases}}}\)