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===Description of Bottleneck=== | ===Description of Bottleneck=== | ||
When using the quadratic formula in the form | When using the quadratic formula in the form x=\frac{1}{2} (-p \pm \sqrt{p^2-4q) | ||
x=\frac{1}{2} (-p \pm \sqrt{p^2-4q) | |||
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 | ||
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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. | ||
This bottleneck is a special case of [[Scope of formula]]. | |||
This bottleneck is a special case of [[ | |||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
[[Category:Bottleneck]] | [[Category:Bottleneck]] | ||
Revision as of 13:03, 4 February 2026
Description of Bottleneck
When using the quadratic formula in the form x=\frac{1}{2} (-p \pm \sqrt{p^2-4q)
students don’t check whether the the quadratic equation to be solved is in the form
x^2 + p x + q = 0,
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.
This bottleneck is a special case of Scope of formula.
