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Mathematics for Chemistry/Functions
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Functions as tools in chemistry
The quadratic formula
In order to find the solutions to the general form of a quadratic equation,
there is a formula
(Notice the line over the square root has the same priority as a bracket. Of course we all know by now that is not equal to but errors of priority are among the most common algebra errors in practice).
There is a formula for a cubic equation but it is rather complicated and unlikely to be required for undergraduate-level study of chemistry. Cubic and higher equations occur often in chemistry, but if they do not factorise they are usually solved by computer.
Solve:
Notice the scope or range of the bracket.
Notice here that the variable is a concentration, not the ubiquitous .