Quadratic Equation Solving Methods Comparison
By Dr. Iris Vaughan, Mathematics Editor·Published 20 September 2025·Last reviewed 20 March 2026
When to use factoring, completing the square, or the quadratic formula — decision guide with worked examples showing each method and its speed trade-offs.
Key Formulas
Factor: try first if integer roots likely
Formula: always works, x=(−b±√(b²−4ac))/2a
Complete square: deriving insight
Discriminant: b²−4ac>0 two real, =0 one, <0 complex
Vertex form: a(x−h)²+k
Download Printable PDF
Get this cheat sheet formatted for A4 or US Letter printing — no ads, clean layout, exam-ready. $9 via Gumroad.
View in Shop