Question

If in square x/y + y /x =10 /3 find xy

Answer 1

Answer:

xy=9

Step-by-step explanation:

x/y + √y/x = 10/3  

√x/y + √y/x = 10/3

√x/y = (10/3 - √y/x)2  

Both side square

x/y = (100/3 + y/x – 2 10/3 √y/x)

x/y – y/x = (100/3 - 2 × 10/3 √y/x)

x2 – y2/xy = (100/3 – 20/3  √y/x)

x2 – y2 = xy (100/3 – 20/3  √y/x)

Integrated solution

x = - 9  y = - 1

x = -1   y = - 9

x = 1   y = 9

x = 9          y = 1

         xy = 9