Question

ajuda ? somando 0,5 comx e dividindo 0,05 por x encontrou-se nos dois casos o msmo resultado .quais podem ser os valores de x ?

Answer 1

$\frac{5}{10}+x=\frac{\frac{5}{100}}{\frac{x}{1}}$
$\frac{5}{10}+\frac{10x}{10}=\frac{5}{100}*\frac{1}{x}$
$\frac{10x+5}{10}=\frac{5}{100x}$
$\frac{(10x+5)10x}{(10)10x}=\frac{5}{100x}$
$\frac{100x^{2}+50x}{100x}=\frac{5}{100x}$
$100x^{2}+50x=5$
$100x^{2}+50x-5=0$
$20x^{2}+10x-1=0$
$x=\frac{-b\pm\sqrt{\Delta}}{2a}$
$x=\frac{-10\pm\sqrt{\Delta}}{2*20}$
$x=\frac{-10\pm\sqrt{\Delta}}{40}$
$\Delta=b^{2}-4ac$
$\Delta=10^{2}-4(20)(-1)$
$\Delta=100+80$
$\Delta=180$
$x=\frac{-10\pm\sqrt{180}}{40}$
$x=\frac{-10\pm6\sqrt{5}}{40}$
$x=\frac{-5\pm3\sqrt{5}}{20}$