Question 2
Given the equation $x^{2}+a x+1=0$, determine
a) the interval in which the real number $a$ should be kept so that the roots of that equation are imaginary.
b) The geometric place of the representative points of those roots in the usual graphical representation of complex numbers, when $a$ travels the previous interval.
a) the interval in which the real number $a$ should be kept so that the roots of that equation are imaginary.
b) The geometric place of the representative points of those roots in the usual graphical representation of complex numbers, when $a$ travels the previous interval.