Standard form: ax² + bx + c = 0 (a ≠ 0 for a true quadratic).
Formula:x = (-b ± √(b² - 4ac)) / (2a)
Discriminant: D = b² − 4ac
D > 0 → two distinct real roots
D = 0 → one real repeated root
D < 0 → complex conjugate roots
Vertex:(h, k) = ( -b/(2a), f(-b/(2a)) ); axis of symmetry x = -b/(2a).
Linear case: if a = 0, solve bx + c = 0 → x = -c/b (if b ≠ 0).
Tip: Use whole numbers or decimals; fractions like 3/4 should be entered as 0.75.
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