Answer:
x1 = 0.16203454
x2= 0.04843273+0.06766624j
x3= 0.04843273-0.06766624j
Step-by-step explanation:
The better way to obtain roots of a polynomial when is not easy to analytically factorize is to use software as Matlab or Python. Use the following code in Python
import numpy as np
pol=np.array([1,-0.2589, 0.02262,-0.001122])
roots=np.roots(pol)
print(roots)