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Many modern students first encounter complex numbers when solving [[quadratic equation]]s, which can have complex number solutions. This presentation is historic

: The quadratic equation 9''x''² + 12''x'' = 0 is equivalent to 3''x''² + 4''x

...ts solution (absent from the manuscript) requires solving an indeterminate quadratic equation (which reduces to what would later be misnamed [[Pell's equation]]). As far

...r figures, uses the theory of Book V. It gives the solution to the general quadratic equation with positive discriminant.

...neither [[logarithm|e]] nor <math>e^2</math> can be a root of an integer [[quadratic equation]], and then established existence of transcendental numbers, the proof bein

...a [[quintic polynomial]] (recall that the formula for the solution of a [[quadratic equation]] gives the roots for any 2nd-degree polynomial; this result states that th

...than necessary. For example the COBOL code for one of the roots of the [[quadratic equation]]