The roots of the polynomial $\large\frac{x-a}{x-b}+\frac{x-b}{x-a}=\frac{a}{b}+\frac{b}{a}$ is _________

Question

$(A) \;0,a+b\\(B)\;0,-(a+b)\\(C)\;0,a-b\\(D)\;0,b-a$