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What is the solution for x/y + y/x = 8  

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xetabeta | Student, Kindergarten | Salutatorian

Posted April 20, 2011 at 3:21 PM via web

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What is the solution for x/y + y/x = 8

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 20, 2011 at 3:52 PM (Answer #1)

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The solution of x/y + y/x = 8 can be obtained by equating z = x/y

This makes x/y + y/x = 8

=> z + 1/z = 8

=> z^2 – 8z + 1 = 0

z1 = 8/2 + sqrt (8^2 – 4) / 2

=> 4 + sqrt 60 / 2

=> 4 + sqrt 15

z2 = 4 – sqrt 15

It is not possible to find the individual values of x and y. We can only find the value of x/y.

The value of x/y can be  4 + sqrt 15 and 4 – sqrt 15.

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