\(2x+1\inƯ\left(x+1\right)\)
\(\Leftrightarrow x+1⋮2x+1\)
\(\Leftrightarrow2.\left(x+1\right)⋮2x+1\)
\(\Leftrightarrow2x+2⋮2x+1\)
\(\Leftrightarrow2x+1+1⋮2x+1\)
\(\Leftrightarrow1⋮2x+1\)
\(\Leftrightarrow2x+1\inƯ\left(1\right)=\left\{-1;1\right\}\)
Bn tự xét các giá trị để tìm x nhé!
\(\Rightarrow x+11⋮\left(2x+1\right)\)
\(\Rightarrow2.\left(x+11\right)⋮\left(2x+1\right)\)
\(\Rightarrow2x+22⋮\left(2x+1\right)\)
\(\Rightarrow2x+1+21⋮\left(2x+1\right)\)
\(\Rightarrow21⋮\left(2x+1\right)\Rightarrow\left(2x+1\right)\inƯ\left(21\right)=\left\{\pm1;\pm3;\pm7;\pm21\right\}\)
\(\Rightarrow x\in\left\{0;-1;1;-2;3;-4;10;-11\right\}\)
Chúc em học tốt!!!
ak, mk xl nhé :)) Mk nhìn nhầm đề. Già r :)) mắt mờ :vv