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When \(a \ne 0\), there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$ Pretty cool, right? Now check this out $$I = \int_{-\infty}^\infty e^{-\frac{1}{2}x^2}dx = \sqrt{2 \pi}.$$