Question 1132108
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<pre>
Two notices regarding this problem.


1.  The condition requires editing to make sense:


        the sum of the {{{highlight(cross(square))}}} <U>squares</U> of two different {{{highlight(cross(integer))}}} <U>integers</U> is 275 and twice their product is 210. 
        Find {{{highlight(the)}}} {{{highlight(cross(integer))}}} <U>integers</U>.



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


        {{{x^2 + y^2}}} = 275

        2xy = 210.


    Add the equations. you will get

        {{{x^2 + 2xy + y^2}}} = 275 + 210,    or

        {{{(x+y)^2}}} = 485.


     But there is NO such integers x and y  giving  {{{(x+y)^2}}} = 485,

     since the number 485 is not a square of an integer.
</pre>


<U>DIAGNOSIS</U> : &nbsp;&nbsp;So the problem &nbsp;<U>HAS &nbsp;NO &nbsp;solution</U>,  &nbsp;or, &nbsp;in other words, &nbsp;the posted problem is &nbsp;<U>DEFECTIVE</U>.



You simply stole my time by posting false problem.