If \( \alpha, \beta \) are roots of the equation \( 6^{|x-2|}=\sqrt{3^{\left(\log _{3} 36\right)^{2}} \div(36)^{\log _{1} 12}} \), then
(A) \( \alpha, \beta \) are coprime numbers
(B) \( \alpha, \beta \) are twin prime numbe:
(C) \( \alpha^{\beta}=\beta^{\alpha} \)
(D) \( \alpha+\beta=4 \)
