Question

√p/q+√q/p=10/3 find the value of pq?

Answer 1

Answer:

√p/q+√q/p=10/3

put  

therefore  

= 10/3

squaring both the side we get

x+1/x =100/9-2

x+1/x= 82/9

9x^2-82x+9=0

solving this quadratic equation we get

x= 9 and x= 1/9

therefore,comparing we get,  p/q = 9