Question

[Dich Duong Thien Ty]

x/2=y/3 va x^2y^2=576 kho do x-y=

Answer 1

[Yuan Bing Yan _ Viên Băng Nghiên]

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