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Ran 12 Aug 2015 02:41PM UTC

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Committed 12 Aug 2015 02:38PM UTC coverage: 96.913% (+0.1%) from 96.81%

Job # 53.1

Build Type

push

travis-ci

Committed by

nicolewhite

Commit Message

Solve cubics when the discriminant > 0

When the discriminant of a cubic equation is greater than 0, there are
three distinct real roots and we encounter the problem Cardano and crew
called Casus Irreducibilis. If you attempt to solve in algebra land,
you have to temporarily traverse the complex number space to arrive at
your real numbered solution. But we can avoid this by going over into
trigonometry land. As of now, Fraction objects are only returned when
the answers are integers. Returning non-integer rationals is on the
TODO list.

var n1 = new Expression("x").add(2); // x + 2
var n2 = new Expression("x").add(3); // x + 3
var n3 = new Expression("x").add(4); // x + 4

var cubic = n1.multiply(n2).multiply(n3);
cubic = new Equation(cubic, 0);
var answers = cubic.solveFor("x");
console.log(answers.toString()); // -4,-3,-2

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