Math — Quadratics & Polynomials
Quadratic formula, discriminant, Vieta's formulas and difference of squares.
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ax^2 + bx + c = 0 \implies x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\Delta = b^2 - 4ac
x_1 + x_2 = -\frac{b}{a}, \quad x_1 x_2 = \frac{c}{a}
a^2 - b^2 = (a-b)(a+b)