Question

Resolver a seguinte equação:

Answer 1

 Olá Diego,
boa tarde!

 $1000=2x+\frac{80000}{x}\\\\\frac{1000}{1/x}=\frac{2x}{1/x}+\frac{80000}{x/1}\\\\1000x=2x^2+80000\\2x^2-1000x+80000=0\;\;\div(2\\x^2-500x+40000=0\\\Delta=250000-160000\\\Delta=90000\\\\x=\frac{500\pm\sqrt{90000}}{2}\Rightarrow\,x=\frac{500\pm300}{2}\\\\\begin{cases}x'=\frac{500+300}{2}\Rightarrow\,\boxed{x'=400}\\\\x''=\frac{500-300}{2}\Rightarrow\,\boxed{x''=100}\end{cases}$