Hi,

Twice the product of two numbers  and  is  0r  2xy = 56, 

The sum of their squares is 65.    

If both numbers are positive, what is the sum of the two numbers ?

         |Substituting for x

 

     |Multiplying thru by y^2 so as all denominators = 1



    |Letting S = y^2

   S^2 - 65S + 784 = 0

  (S-49)(S-16) = 0, S is 16,49  and 

y is  4  or  7  and x is  7  0r  4  Note: "both number are positive"

the sum of the two numbers  is  11  

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