Question

find all solutions of x = 3/x + 1/2

Answer 1

The degree of x is only 1, so there is just 1 solution.
x = 3/x + 1/2
x-3/x = 1/2
(x^2-3)/x = 1/2
x^2-3=1/2x
x^2-1/2x-3=0
Now factor the solutions :)