Question 413914
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Hi
Let x represent the number
Question states***
 x + 1/x = 10/3            |good work
Solving for x
 3x^2 + 3 = 10x
3x^2  - 10x + 3 = 0      
factoring
(3x -1)(x - 3) = 0   Note:SUM of the inner product(-x) and the outer product(-3x) = -10x 
(3x -1)=0      x = 1/3
(x - 3) = 0    x = 3
CHECKING our Answer(s)***
  1/3 + 3 = 10/3
  3 + 1/3 = 10/3