Tìm x-y biết \(\frac{x}{2}\)=\(\frac{y}{3}\)và x2.y2=576
Ta có: x2.y2=576 => (x.y)2=242 => xy=24
\(\frac{x.x}{2.2}\)=\(\frac{xy}{2.3}\)=>\(\frac{x.x}{4}\)=\(\frac{24}{6}\)=>\(\frac{x.x}{4}\)=4
=> x.x=4.4
=> x=4
Vì \(\frac{y}{3}\)=\(\frac{4}{2}\)
=> \(\frac{y}{3}\)=2 => y=3.2 => y=6
Vậy x-y = 4-6 = -2