Scope of quadratic formula: Difference between revisions
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===Description of Bottleneck=== | ===Description of Bottleneck=== | ||
When using the quadratic formula in the form <math>x=\frac{1}{2} (-p \pm \sqrt{p^2-4q}</math> | 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 | students don’t check whether the the quadratic equation to be solved is in the form | ||
<math>x^2 + p x + q = 0</math>, | <math>x^2 + p x + q = 0</math>, | ||
i.e. that the <math>x^2</math>-coefficient is equal to unity. | |||
i.e. that the x^2-coefficient is equal to unity. | |||
That is to say, students don't check whether the prerequisites for the applicability of this formula apply. | That is to say, students don't check whether the prerequisites for the applicability of this formula apply. | ||
Latest revision as of 08:54, 16 February 2026
Description of Bottleneck[edit | edit source]
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.