If the quadratic equation \( a x^{2}+b x+c=0 \)
has \( \frac{\sqrt{2}+1}{\sqrt{2}-1} \) as one root of it and \( a=2 \), then what is the equation in standard form ?
(A) \( x^{2}-6 x+1=0 \)
(B) \( 2 x^{2}-x+1=0 \)
(C) \( x^{2}-\sqrt{2} x+\sqrt{2}=0 \)
(D) \( \sqrt{2} x^{2}-3 x+\sqrt{2}=0 \)
