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Some caution is advised in using this solution. When /b/ is

much, much larger than /a/ and /c,/ the usual formula loses

several places of accuracy. A better solution is:

|>>

| EQN:x_1=-\left(\frac{b+\text{sgn}(b)sqrt{b^2-4ac}}{2a}\right) | EQN:x_2=\frac{c}{ax_1} |

<<|

Numerical analysis can be a very difficult topic.

]]]

The general quadratic equation has the form EQN:ax^2+bx+c=0.

The general solution is given by:

|>>

| EQN:x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} |

<<|

A similar, but insanely more complex solution is possible

for the cubic equation.

A similar, but much more complex solution is possible

for the cubic equation; and an even worse one for the

quartic equation. Beyond that (quintic equation and

higher) no such solution exists.

* http://en.wikipedia.org/wiki/Quadratic_equation