x = −c
b.
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 a0. Also, for the sake of simplicity, we consider only the case in which b>0.
x = −cb.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 whileb 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 witha>0. Also, for the sake of simplicity, we consider only the case in which b>0.
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