Answer
See explanations.
Work Step by Step
Step 1. Based on the given equation, let $a=\sqrt 2, b=5, c=-3\sqrt 2$.
Step 2. Find the discriminant as: $b^2-4ac=5^2+4(3)(\sqrt 2)^2=49$
Step 3. The solutions do not contradict the discussion in this section because in this case the coefficients $a, c$ are irrationals.