Question

square root of x÷y +square root of y÷x = 10÷3 . Find xy​

Answer 1

Answer:

Hello,

√(x/y) + √(y/x) = 10/3

√(x/y) = 10/3 - √(y/x)

x/y = (10/3 - √(y/x))^2

x/y = y/x + 100/9 - (20/3)√(y/x)

x/y - y/x = 100/9 - (20/3)√(y/x)

x^2 - y^2 = xy(100/9 - 20√(y/x)/3)

Integer solutions:

x = -9, y = -1

x = -1, y = -9

x = 1, y = 9

x = 9, y = 1

xy = 9