Question

x+y:√xy=4:1 then the ratio of x:y=​

Answer 1

x+y)/√(xy) = 4/1

x+y = 4√(xy)  -----------------(1)

(x-y)² = (x+y)² - 4xy

(x-y)² = 16xy - 4xy

(x-y)² = 12xy

x-y = 2√(3xy)  ---------------(2)

(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