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Technically speaking, a gerund is a verbal noun and a gerundive is a verbal adjective. Gerunds and gerudnives both look very similar - the key feature in the words is a 'nd'. For example: amandi, vivendo,...

By completing the square: ax^2 + bx + c = 0 => x^2 + (bx)/a + c/a = 0 (divide both side by a, since a is non-zero) => (x + b/(2a))^2 + c...