x^2 - 7x + 6 = 0
=> x^2 - x - 6x + 6 = 0
=> x(x - 1) - 6(x - 1) = 0
=> (x - 6)(x - 1) = 0
=> x = 6 hoặc x = 1
x^2 - 5x + 4 = 0
=> x^2 - x - 4x + 4 = 0
=> x(x - 1) - 4(x - 1) = 0
=> (x - 4)(x - 1) = 0
=> x = 4 hoặc x = 1
\(x^2-7x+6=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\x-6=0\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=6\end{cases}}\)
\(x^2-5x+4=0\)
\(\Leftrightarrow\left(x-4\right)\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=0\\x-1=0\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}x=4\\x=1\end{cases}}\)
#quankun^^
x^2-x-6x+6=0
(x^2-x)-(6x-6)=0
x(x+1)-6(x-1)=0
(x-6)(x-1)=0
\(\hept{\begin{cases}x-6=0\\x-1=0\end{cases}}\) x=6 hoặc x=1
(x^2-x)-(4x-4)=0
x(x-1)-4(x-1)=0
(x-4)(x-1)=0
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\(x^2-7x+6=0\)
\(\Rightarrow x^2-x-6x+6=0\)
\(\Rightarrow x\left(x-1\right)-6\left(x-1\right)=0\)
\(\Rightarrow\left(x-6\right)\left(x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=1\end{cases}}\)
