SOLUTION: the sum of the square of two different integer is 275 and twice their product is 210 find integer

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Question 1132108: the sum of the square of two different integer is 275 and twice their product is 210 find integer
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Two notices regarding this problem.


1.  The condition requires editing to make sense:


        the sum of the highlight%28cross%28square%29%29 squares of two different highlight%28cross%28integer%29%29 integers is 275 and twice their product is 210. 
        Find highlight%28the%29 highlight%28cross%28integer%29%29 integers.



2.  Let x and y be the integers. Then the problem says


        x%5E2+%2B+y%5E2 = 275

        2xy = 210.


    Add the equations. you will get

        x%5E2+%2B+2xy+%2B+y%5E2 = 275 + 210,    or

        %28x%2By%29%5E2 = 485.


     But there is NO such integers x and y  giving  %28x%2By%29%5E2 = 485,

     since the number 485 is not a square of an integer.


DIAGNOSIS :   So the problem  HAS  NO  solution,  or,  in other words,  the posted problem is  DEFECTIVE.


You simply stole my time by posting false problem.