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pq formula

With the pq formula you can factorize a simple quadratic equation to calculate the zeros



We'll start with

You can also write this as

We prepare the resolution with

and then find

This results in

The pq formula is mostly written as


Example 1

That gives (x − 3)(x + 7) = 0 and we could have seen that right away.


Example 2

If the quadratic equation has no simple form, you have to convert it first. This is always possible.

And we could have seen that directly.

The pq formula is a variant of the quadratic formula and is completely superfluous.


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