New way of dealing with complex numbers

Does my new way of dealing with complex numbers bring an advantage or is it stupid? The goal is to find something more coherent (it already is), but above all more useful.
I recall the idea: the imaginary number i is a unit such that it is invariant whatever its power. For all x, we have i^x=-1.
This was already the case with the real unit n=1. For all x, 1^x=1.
In this sense, not only is i²=-1 true, i^(1/2)=-1, but also i^4=-1, i^5689=-1, i^(-3/2)=-1.
Second, the real or complex roots of quadratic equations are:
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Exemple : Roots of f(x)=x²+4x+5 ---> x'=i, x"=-5i
Finally, the complex roots of a function are the real roots of the function in point symmetry $(0,y), and vice versa.
R.H.