One, (20 points) Given that $a$, $b$, and $c$ satisfy the system of equations
$$
\left\{\begin{array}{l}
a+b=8, \\
a b-c^{2}+8 \sqrt{2} c=48 .
\end{array}\right.
$$

Try to find the roots of the equation $b x^{2}+c x-a=0$.