Question

Afla lati numerele x,y,z,stiind sunt direct proportionale cu 3,5,6 si ca produsul lor este 50.Dau coroana Va rog

Answer 1

calculele sunt cam urate, n am sa mint))))
x, y, z d,p cu 3, 5, 6

$\frac{x}{3} =k=>x=3k$

$\frac{y}{5}=k=>y=5k$

$\frac{z}{6}=k=>z=6k$

$x*y*z=50$

$=>3k*5k*6k=50$

$=>90k^3=50 |:10$

$=>9k^3=5$

$=>k^3=\frac{5}{9}$

$=>k= \frac{\sqrt[3]{15}}{3}$

$x=3k=>x=3*\frac{\sqrt[3]{15} }{3} =>x=\sqrt[3]{15}$

$y=5k=>y=5*\frac{\sqrt[3]{15} }{3}=>y= \frac{5\sqrt[3]{15} }{3}$

$z=6k=>z=6*\frac{\sqrt[3]{15} }{3} =>z=2\sqrt[3]{15}$