Algebra › Section I · Quadratic equations and functions › Topic I.3
The quadratic formula and the discriminant
Completing the square works, but doing it fresh for every equation is tedious. Run the method once on the general quadratic with letters in it, and you never have to run it again - the result is a formula that solves every quadratic that ever was.
In this topic
- The formula
- Where it comes from
- The substitution routine
- Worked example: a friendly outcome
- Worked example: irrational roots
- Worked example: a double root
- The discriminant
- Worked example: predictions before solving
- Choosing a method
- Common mistakes to avoid
- Key takeaways
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