\(\frac{x+19}{3}+\frac{x+13}{5}=\frac{x+7}{7}+\frac{x+1}{9}\)

\(=>\frac{x+19}{3}+3+\frac{x+13}{5}+3=\frac{x+7}{7}+3+\frac{x+1}{9}+3\)

\(=>\frac{x+28}{3}+\frac{x+28}{5}=\frac{x+28}{7}+\frac{x+28}{9}\)

\(=>\frac{x+28}{3}+\frac{x+28}{5}-\frac{x+28}{7}-\frac{x+28}{9}=0\)

\(=>\left(x+28\right)\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{7}-\frac{1}{9}\right)=0\)

Do :\(\frac{1}{3}+\frac{1}{5}-\frac{1}{7}-\frac{1}{9}\ne0\)

\(=>x+28=0\)

\(=>x=-28\)

Vậy nghiệm của phương trình trên là : -28

Thks nha

\(\frac{x+19}{3}+\frac{x+13}{5}=\frac{x+7}{7}+\frac{x+1}{9}\)

\(\Leftrightarrow\frac{x+19}{3}+3+\frac{x+13}{5}+3=\frac{x+7}{7}+3+\frac{x+1}{9}+3\)

\(\Leftrightarrow\frac{x+19+9}{3}+\frac{x+13+15}{5}=\frac{x+7+21}{7}+\frac{x+1+27}{9}\)

\(\Leftrightarrow\frac{x+28}{3}+\frac{x+28}{5}-\frac{x+28}{7}-\frac{x+28}{9}=0\)

\(\Leftrightarrow\left(x+28\right)\left(\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+\frac{1}{9}\right)=0\)

\(\Leftrightarrow x=-28\)

Vậy \(x=-28\)

Ghi bằng CT trực quan đi, chứ viết đề này mk phân tích cũng mệt nhất ở VP

a: \(\Leftrightarrow\left(x+2\right)\left(x-2\right)⋮x^2-7\)

\(\Leftrightarrow x^2-7\in\left\{1;-1;3;-3\right\}\)

hay \(x\in\left\{2\sqrt{2};-2\sqrt{2};\sqrt{6};-\sqrt{6};\sqrt{10}-\sqrt{10};2;-2\right\}\)

b: \(\Leftrightarrow2+2+2+...+x=2002\)

\(\Leftrightarrow2\left(\dfrac{x-2}{2}+1\right)=2002\)

\(\Leftrightarrow\left(x-2\right)\cdot\dfrac{1}{2}+1=1001\)

=>1/2(x-2)=1000

=>x-2=2000

hay x=2002

Tìm c,d là số nguyên x biết : \((c-3)(2\cdot d+1)=7\) chứ

Ta có : \((c-3)(2\cdot d+1)=7\)

\(\Rightarrow(c-3)(2\cdot d+1)\inƯ(7)=\left\{\pm1;\pm7\right\}\)

Vậy