how to calculate quadratic roots in Python

the quadratic roots

if b^2 - 4 * a * c is greater than zero, then the roots are complex numbers.

complex number i, python uses j instead for -1 under root.

in Python,

import sqrt

from numpy.lib.scimath import sqrt

then,

root1 = -b + sqrt(b**2 - 4*a*c))/ (2*a)

root2 = -b - sqrt(b**2 - 4*a*c))/ (2*a)

where f(x) = ax^2 + bx + c