Ta có : \(2x+5⋮x+1\Rightarrow2x+2+3⋮x+1\)

\(\Rightarrow2\left(x+1\right)+3⋮x+1\)

Do \(2\left(x+1\right)⋮x+1\Rightarrow3⋮x+1\)

\(\Rightarrow x+1\inƯ\left(3\right)=\left\{3;1;-1;-3\right\}\)

\(\Rightarrow x\in\left\{2;0;-2;-4\right\}\)

ko hiểu lắm

\(|3x-5|-|\frac{-3}{2}|=\)\(5\)

\(|3x-5|-\frac{3}{2}=\)\(5\)

\(|3x-5|=5+\frac{3}{2}\)

\(|3x-5|=\frac{13}{2}\)

\(\Rightarrow\)\(\orbr{\begin{cases}3x-5=\frac{13}{2}\\3x-5=\frac{-13}{2}\end{cases}}\)\(\Rightarrow\)\(\orbr{\begin{cases}3x=\frac{23}{2}\\3x=\frac{-3}{2}\end{cases}}\)\(\Rightarrow\)\(\orbr{\begin{cases}x=\frac{23}{6}\\x=\frac{-1}{2}\end{cases}}\)

Vậy \(x\in\left\{\frac{23}{6};\frac{-1}{2}\right\}\)

\(\left|3x-5\right|-\left|-\frac{3}{2}\right|=5\)

\(\left|3x-5\right|-\frac{3}{2}=5\)

\(\left|3x-5\right|=5+\frac{3}{2}\)

\(\left|3x-5\right|=\frac{10}{2}+\frac{3}{2}\)

\(\left|3x-5\right|=\frac{13}{2}\)

\(\Rightarrow3x-5=\frac{13}{2}\text{ hoặc }3x-5=-\frac{13}{2}\)

\(3x=\frac{13}{2}+5\)             \(3x=-\frac{13}{2}+5\)

\(3x=\frac{13}{2}+\frac{10}{2}\)        \(3x=-\frac{13}{2}+\frac{10}{2}\)

\(3x=\frac{23}{2}\)                       \(3x=-\frac{3}{2}\)

\(x=\frac{23}{2}:3\)                        \(x=-\frac{3}{2}:3\)

\(x=\frac{23}{2}\times\frac{1}{3}\)               \(x=-\frac{3}{2}\times\frac{1}{3}\)

\(x=\frac{23}{6}\)                           \(x=-\frac{1}{2}\)

\(\text{Vậy }x=\frac{23}{6};x=-\frac{1}{2}\)

\(2x-3⋮x+1\)

\(2\left(x+1\right)-5\)\(⋮x+1\)

Vì \(x+1\) \(⋮x+1\)

nên \(2\left(x+1\right)\)\(⋮x+1\)

Do đó 5 \(⋮x+1\)

\(\Rightarrow\)\(x+1\inƯ\left(5\right)\)

\(\Rightarrow\)\(x+1\in\left\{1;-1;5;-5\right\}\)

\(\Rightarrow\)\(x\in\left\{0;-2;4;-6\right\}\)

Vậy \(x\in\left\{0;-2;4;-6\right\}\)

\(=\frac{137}{13}-\frac{85}{13}-\frac{17}{7}\)

\(=\frac{52}{13}-\frac{17}{7}\)

\(=\frac{11}{7}\)

Diện tích khu vườn là

               250:5/8=400(mét vuông)

Diện tích trồng cam là

              400.40%=160(mét vuông)

Diện tích trồng bưởi và chuối là

              400-160=240(mét vuông)

                            Đ/S...................

thank Linh