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Question

The number x is we more than number y.If the sum of squares of x and y is 34;find the product of x and y.


Solution

let the  numbers x and y
x = y + 2
       x² + y² = 34 

     x - y = 2 
   squaring,  (x - y)² = 2²
             x² + y² - 2 x y = 4
             34 - 2 x y = 4
                34-4=2xy
               x y = 15

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