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The 28 pages that link to Quadratic equation, each with the reason it gives.

• Conic sectionRelated: Conic sections can be described by second-degree equations in two variables.

• Al-KhwarizmiRelated: He classified and solved quadratic equations using rhetorical procedures.

• Square rootRelated: Solving x² = a requires considering both square roots when a is positive.

• AlgebraBroader topic: Quadratics require methods beyond the straightforward isolation used for linear equations.

• Linear equationCompared with: A squared variable makes a quadratic equation nonlinear.

• BrahmaguptaRelated: Brahmagupta gave procedures for solving quadratic equations, including cases with two roots.

• Omar KhayyamCompared with: Unlike quadratics, general cubics resisted solutions using the algebraic methods available to Khayyam.

• Golden ratioRelated: The golden ratio is the positive solution of x² − x − 1 = 0.

• Power of a pointRelated: Substituting a line into a circle equation yields two roots whose product encodes power.

• Babylonian mathematicsRelated: Babylonian procedures for area problems could reduce to solving quadratic equations.

• ParabolaRelated: Solving a quadratic often finds where a line or another curve meets a parabola.

• EquationBroader topic: Its solutions can be found by factoring, completing the square, or the quadratic formula.

• Polynomial equationBroader topic: Completing the square and the quadratic formula solve this important degree-two case.

• Completing the squareNarrower topic: Completing the square solves quadratics by isolating a squared expression.

• Quadratic formulaNarrower topic: The formula solves this broader class of equations when the leading coefficient is nonzero.

• HyperbolaRelated: Hyperbolas appear as the real loci of certain second-degree equations.

• Cubic equationCompared with: Quadratics have a simpler radical formula and at most two roots.

• Vieta's formulasBroader topic: Its roots sum to the negative linear coefficient divided by the leading coefficient, and multiply to the constant term divided by it.

• Rhetorical algebraBroader topic: Classical rhetorical algebra often organizes problems by quadratic equation types.

• Algebraic equationBroader topic: Quadratic equations capture curved relationships and have a general solution formula.

• Binomial (algebra)Related: Factored quadratic equations often contain binomials as their linear factors.

• Descartes' theoremNarrower topic: Solving the theorem for one curvature produces a quadratic with two possible tangent circles.

• Nth rootBroader topic: Solving it often requires square roots, and its discriminant determines whether those roots are real.

• Abu KamilBroader topic: His treatises solve quadratic problems using both algebraic rules and geometric reasoning.

• Al-JabrBroader topic: Al-Khwarizmi’s treatment of quadratic equations shows al-jabr working beyond first-degree problems.

• Elementary algebraBroader topic: Quadratics introduce factoring, completing the square, and the quadratic formula.

• Trinomial (algebra)Related: Setting a quadratic trinomial equal to zero creates a quadratic equation.

• Markov numberRelated: Treating one coordinate as a quadratic root produces the mutation rule.