If x and y are positive integers which satisfy the equation , then the value is

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CollectorBabu · Accepted Answer

Correct Answer: 61. X and Y are positive integers in the Question which satisfy the X 2 - Y 2  = 12  X 2 - Y 2  =  (X-Y) (X+Y) X 2 - Y 2  =  (X-Y) (X+Y) = 11    11 is prime number and  = 1 *  11  Since X and Y are Positive integers  Then X-Y < X+Y X-Y = 1 , X+Y = 11  Add both   2 X = 12  X = 6 and Y = 5    X 2  + Y 2   = 36 + 25 = 61

If x and y are positive integers which satisfy the equation , then the value is

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