Math, asked by shaurychdback, 1 year ago

plz solve this question

Attachments:

Sajiya70: ks

Sajiya70: Is there any answer given?

shaurychdback: yes answer is 9

Answers

Answered by Ayusha765

squaring both sides,we get:-
x/y+y/x+2=100/9
=>x/y+y/x=82/9
=>(x^2+y^2)/xy=82/9
therefore xy=9
(x=1 & y=9)

Sajiya70: How can you assume from (x^2+y^2)/xy=82/9 that xy = 9? Please explain!

Ayusha765: it is a ratio,you can consider xy=9 as x=1 and y=9 satisfoes the equation but more detailed process can be used by taking (x/y)^(1/2) as u and (y/x)^(1/2) as 1/u then we will get a quadratic equation which would give the value of x/y then again we have to put the value in yhe squared equation and then solve

Sajiya70: OK thanks!

Sajiya70: :D

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