Linked from

The 11 pages that link to Quadratic formula, each with the reason it gives.

• Quadratic equationRelated: It solves every quadratic equation, including those that do not factor neatly.

• Square rootRelated: Its discriminant’s square root determines the equation’s solutions and whether they are real.

• Golden ratioRelated: Applying it to x² − x − 1 = 0 yields (1 + √5)/2.

• Discriminant (polynomial)Related: Its square-root term contains the quadratic discriminant, distinguishing real, repeated, and complex roots.

• Completing the squareRelated: Completing the square on the general quadratic equation derives this formula.

• Vieta's formulasCompared with: It computes the roots explicitly, while Vieta's formulas relate their combinations to coefficients.

• Abel–Ruffini theoremCompared with: It exemplifies the kind of universal radical formula that exists through degree four.

• Solvability by radicalsBroader topic: It gives a universal radical formula for polynomials of degree two.

• Quadratic functionRelated: It locates the x-intercepts even when factoring is inconvenient.

• Complex conjugate root theoremRelated: For real coefficients, its nonreal solutions appear as conjugates.

• Trinomial (algebra)Related: It finds roots even when a quadratic trinomial does not factor neatly.