Answer: [tex]\bold{x=\dfrac{1\pm \sqrt5}{2}}[/tex]
both zeros are irrational numbers
Step-by-step explanation:
Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.
[tex]\dfrac{1}{x}=x-1\qquad \text{Restriction: }x\neq 0\\\\\\\text{Cross multiply, simplify, and set equal to zero:}\\1=x(x-1)\\\\1=x^2-x\\\\0=x^2-x-1\\\\\\\text{This is not factorable so you will need to use Quadratic Formula:}\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}\\\\\\x=\dfrac{1\pm \sqrt5}{2}[/tex]
