The Academy Awards are the oldest awards ceremony for achievements in motion pictures. The Academy Award for Best Art Direction recognizes achievement in art direction on a film. The films below are listed with their production year, so the Oscar 2000 for best art direction went to a film from 1999.
... denominator is 4a2. We get
<math>\left(x+\frac{b}{2a}\right)^2=\frac{-4ac+b^2}{4a^2}=\frac{b^2-4ac}{4a^2}.</math>
Taking square roots of both sides ...