Các anh chị làm ơn giúp em với. Sáng mai phai nộp rồi ạ. Em cảm ơn các anh chị nhiều ạ
\(3x+2⋮x-1\)
\(\Rightarrow3x-3+5⋮x-1\)
\(\Rightarrow3\left(x-1\right)+5⋮x-1\)
\(\Rightarrow5⋮x-1\)
\(\Rightarrow x-1\inƯ\left(5\right)\)
\(Ư\left(5\right)=\left\{\pm1;\pm5\right\}\)
\(\Rightarrow\left\{{}\begin{matrix}x-1=1\Rightarrow x=2\\x-1=-1\Rightarrow x=0\\x-1=5\Rightarrow x=6\\x-1=-5\Rightarrow x=-4\end{matrix}\right.\)
\(x^2-3x+7⋮x-2\)
\(\Rightarrow x^2-2x-x+7⋮x-2\)
\(\Rightarrow x^2-2x-x+2+5⋮x-2\)
\(\Rightarrow x\left(x-2\right)-1\left(x-2\right)+5⋮x-2\)
\(\Rightarrow\left(x-1\right)\left(x-2\right)+5⋮x-2\)
\(\Rightarrow x-2\inƯ\left(5\right)\)
\(Ư\left(5\right)=\left\{\pm1;\pm5\right\}\)
\(\Rightarrow\left\{{}\begin{matrix}x-2=1\Rightarrow x=3\\x-2=-1\Rightarrow x=1\\x-2=5\Rightarrow x=7\\x-2=-5\Rightarrow x=-3\end{matrix}\right.\)
hihi
