Factoring with fractional exponents

Question

I don't know what it is, but this problem is giving me problems, although i have solved similar ones, this one is in all likely hood very simple, it's just : Solve for X $\sqrt{x} + (1 + \sqrt{x}) -2 = 0$

Answer 1

Hint: multiply through by $\sqrt x$.

Hint 2: try a substitution, for example $x^2=y$.

Answer 2

I assume the equation you pose is $$\sqrt{x} + \frac{1}{\sqrt{x}} - 2 = 0$$

To solve that, multimply by $\sqrt{x}$ and then square. $$ (x+1)^2 = 4x$$

The only solution is $x=1$