Scope of quadratic formula

Description of Bottleneck

When using the quadratic formula in the form <math>x=\frac{1}{2} \left(-p \pm \sqrt{p^2-4q}\right)</math> students don’t check whether the the quadratic equation to be solved is in the form <math>x^2 + p x + q = 0</math>, i.e. that the <math>x^2</math>-coefficient is equal to unity.

That is to say, students don't check whether the prerequisites for the applicability of this formula apply.

This bottleneck is a special case of Scope of formula.