Quintic Equation Solver

This tool computes all roots — real or complex — of a fifth-degree equation of the form \(a x^5 + b x^4 + c x^3 + d x^2 + e x + f = 0\), where the coefficients may be real or complex numbers.
Note 1: The coefficient \(a\) must be non-zero (\(a \ne 0\)).
Note 2: If a coefficient is a real number — enter its value in the first input box and put zero in the second box. If a coefficient is complex — enter the real part in the first box and the imaginary part in the second box.
Coefficients
\(a=\) + \(i\)
\(b=\) + \(i\)
\(c=\) + \(i\)
\(d=\) + \(i\)
\(e=\) + \(i\)
\(f=\) + \(i\)