Question 134
Solve the equation $x^2 + p = qx$, where
$$
p = (32 + \sqrt{2})(9 - \sqrt{8})^{-1}, \quad q = \sqrt{9 + \sqrt{8} - \sqrt{24} - \sqrt{48}} + \sqrt{3 - \sqrt{8}} + \sqrt{55 - 14\sqrt{6}}
$$
$$
p = (32 + \sqrt{2})(9 - \sqrt{8})^{-1}, \quad q = \sqrt{9 + \sqrt{8} - \sqrt{24} - \sqrt{48}} + \sqrt{3 - \sqrt{8}} + \sqrt{55 - 14\sqrt{6}}
$$