solve each equation for x
x+(6/x)=5
x + (6/x) = 5
Multiply through by x to get: x2 + 6 = 5x
Subtract 5x from both sides:
x2 - 5x + 6 = 0
This factors nicely into: (x-2)(x-3) = 0
So the two solutions are x = 2 and x = 3