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" This is the cubic formula that you will use MOST of the time.  Don't be afraid to use cosine and inverse cosine on your calculator.  Save theta into your calculator's memory. "

This is the only known cubic formula in the world.

Calculate p and Q,  and write them down.
Equation  I
Graphical interpretation of Equation I
If n < 6.75, then:
​
Equation II

There exists a bounded interval that contains all three real roots.  This interval has an upper bound and a lower bound that are very close to the outer roots.

Just evaluate n

The discriminate re-written.

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