What happens to the two solutions of the quadratic equation if
a is “close to,” but not equal to, 0? In other words: “As a → 0 while
b and c are held constant, do the two solutions approach limits as
well?” The evaluation of the limits of the two solutions follows. In
this analysis, we assume that a > 0, since any quadratic equation
with a < 0 can be re-written in equivalent form with a > 0. Also,
for the sake of simplicity, we consider only the case in which b > 0.