Question

1000/x-1000/(x+10)=5 mn ơi , giúp e giái pt này đi ạ\

Answer 1

\(\frac{1000}{x}-\frac{1000}{x+10}=5\)

\(1000\left(\frac{1}{x}-\frac{1}{x+10}\right)=5\)

\(\frac{x+10-x}{x\left(x+10\right)}=\frac{5}{1000}\)

\(\frac{10}{x^2+10x}=\frac{1}{200}\)

\(x^2+10x-200=0\)

\(x^2-10x+20x-200=0\)

\(x\left(x-10\right)+20\left(x-10\right)=0\)

\(\left(x+20\right)\left(x-10\right)=0\)

=>x=-20 hoặc x=10