Question

(x+y):√xy=4:1 then x:y=?​

Answer 1

(x+y)/√(xy) = 4/1

x+y = 4√(xy)  

(x-y)² = (x+y)² - 4xy

(x-y)² = 16xy - 4xy

(x-y)² = 12xy

x-y = 2√(3xy)  

(1) + (2)

2x = 2√(xy) (2+√3)

√(x/y) = (2+√3)

x/y = 4+3+4√3

x/y = 7+4√3

x:y = (7+4√3):1