The solutions of may be expressed in the form (a-b^1/2)/c and , (a+ b^1/2)/c where , , and are prime numbers. Find .The solutions of $x(x-3)=1$ may be expressed in the form $\frac{a+\sqrt{b}}{c}$ and $\frac{a-\sqrt{b}}{c}$, where $a$, $b$, and $c$ are prime numbers. Find $abc$.