Question 394694
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Hi
The sum of two numbers is 14
Let x and (14-x) represent the two numbers
Question states***
 x^2 + (14-x)^2 = 106
solving for x
  2x^2 -28x + 196 = 106
  2x^2 -28x + 90 = 0 
 2(x^2 -14x + 45) = 0
factoring
  (x-9)(x-5) = 0  Numbers are 5 and 9

CHECKING our Answer***
 25 + 81 = 106