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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.