The tone of science fictionfilms is often a guide to the tone of the times the film was made: other worlds and species are viewed in turn as wonderful, terrifying, threatening, incomprehensible, and childishly benign.
... the square of b/(2a) to both sides, getting
<math>x^2+\frac{b}{a}x+\frac{b^2}{4a^2}=-\frac{c}{a}+\frac{b^2}{4a^2}.</math>
The left side is now a perfect ...