1. The problem is to find the 4 roots of the equation for each integer value of $k$ from 0 to 10. 2. Since the original equation is not provided, let's assume a general quartic equation depending on $k$: $$f(x,k) = 0$$ with 4 roots for each $k$. 3. For each $k = 0,1,2,\ldots,10$, we solve the quartic equation to find its 4 roots. 4. The roots can be real or complex depending on the coefficients and $k$. 5. Without the explicit equation, we cannot provide exact roots, but the method involves substituting each $k$ and solving the quartic. 6. If you provide the specific equation, I can compute the roots for each $k$.