Second degree equation
Définition :
We call second degree equation in
an equation of the type
We can discriminant of the second degree equation the complex number
Fondamental :
If
the equation admits one root
If
the equation admits two distinct roots:
where
is a arbitrary square root of
meaning
Special case of an equation with real coefficients:
If
and
are real numbers,
being non zero, we have the same result if
is zero.
If
is strictly positive, the equation has two distinct real roots.
If
is strictly negative, the equation does not have real roots, but it admits two complex conjugated roots.
