1. Solve 3x^{3}-13x^{2}+19x-5 = 0 given that there are no integral nor negative roots.

2. The polynomial function y=x^{4}-11x^{3}+40x^{2}-55x+25. It intersects the x-axis at x=1, x=5, and at two other points.

Determine these other two x-intercepts.

Thanks!