"A general Series for expressing the Root of any Quadratick Equation. Any Quadratick Equation being reduc’d to this Form xx - mqx + my = 0, the Root x will be exprest by this Series of Terms. x = \frac {y}{q} + A \times \frac{1}{\frac{mq^2}{y} -2} + B \times \frac {1}{a^2 - 2} + C \times \frac {1}{b^2 - 2} +D \times \frac {1}{c^2 - 2} etc. Which must be thus interpreted. 1. ...A, B, C, etc. stand for the whole terms with their Signs, preceding those wherein they are found, as B = A \times \frac {1}{\frac{mq^2}{y} - 2} 2. ...a, b, c, etc. ...are equal to the whole Divisors of the Fraction in the Terms immediately preceding; thus b = a^2 - 2."