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