Question

please q 14........ do fast (full working)....(I will mark brainliest)

Answer 1

√(x/y)+√(y/x)=10/3

squaring both sides

(√(x/y)+√(y/x))²=(10/3)² (using the formula (a+b)²=a²+b+2ab on left side)

x/y+y/x+2(√xy/yx)=100/9

x/y+y/x+2√1=100/9 (√1 can be written as 1 here)

(x²+y²+2xy)/xy=100/9 (taking lcm)

9(x²+y²+2xy)=100(xy) (cross multiply)

9x²+9y²+18xy=100xy

9x²+9y²=82xy

9(x²+y²)=82xy

xy=9/82(x²+y²)

i have tried by best to solve till the question i was able to see.