Revision #639 → #1508 · back to history
addedQuadratic equation (standard form)86082b0f8dcf
addedCoefficients of a quadratic equation32be33f1853f
addedSolutions, roots, and double root53c8458b3e8c
addedNumber of roots of a quadratic1d7aa0afa948
addedFactored form of a quadratic5f4604d99e18
addedQuadratic formulabbe8ecef0098
addedQuadratic equation is a second-degree polynomial equation4a28f7f6ab77
addedReal-coefficient root cases2b482bd46994
addedComplex-coefficient rootsb7a3bf16f36d
addedZero Factor Property3b125f08ac82
addedVieta's rule for monic factorization7d12caa12738
addedFactoring x^2 + 5x + 6492847e3c859
addedCompleting the square algorithm8e3319c476bd
addedSolving 2x^2 + 4x - 4 = 06d0d863b8d12
addedDerivation of quadratic formula0c60898d54b5
addedMuller's method formula7278f5245885
addedBehavior of Muller's formula at a=0 or c=0ab93edb02a24
addedReduced quadratic equationcedc99fef9c3
addedQuadratic formula for reduced quadraticc47439d31ffb
addedDiscriminantee4dd9ce5f62
addedDiscriminant determines nature of roots7359a1e99ded
addedDistinct/real roots iff conditions on discriminant9d8b4e6a1559
addedQuadratic function and parabolae29de10bb399
addedOpening direction and vertex of parabola953668c80ed2
addedRoots as x-interceptsaee205e35a66
addedFactor theorem for quadraticsf96fdb80769a
addedFactorization in repeated-root case82b5f2dd9096
addedGraphical solution via parabola intersectionse44841b2c45c
addedTangent parabola yields double root107d032a1321
addedComplex conjugate roots when no intersection31e603a1f9e8
addedGeometric expression of complex rootsd30798168030
addedLoss of significance in quadratic formulab1fe0726877d
addedStable computation of smaller rootde42fda1e7a1
addedGolden ratio from quadraticec8ffa3339fd
addedConic sections as quadratic equations541c73de9635
addedHalf-angle from quadratic479ab82f9b4a
addedNested square root simplification2ea8e03526ec
addedDescartes' theorem on kissing circles3aece924b4f0
addedFuss' theorem8cd375dbe77a
addedCritical and inflection points via quadratic4133f5f499b5
addedKinematic displacement under constant acceleration2c759baf03b7
addedpH of weak acid solution13aaac0bd9e9
addedBabylonian simultaneous equations problem9df2f14cf77b
addedBabylonian solution steps126b68338874
addedBrahmagupta's solutionf69c6ce78b6a
addedVieta's formulasbecf5defab72
addedVertex x-coordinate as average of roots9816dc200763
addedVieta-based root approximationa8c8d0fe48d4
addedWorked trigonometric solution31de6f975054
addedPolar form of complex roots7a3d9d34be06
addedLill's method for quadraticsb5d4450796aa
addedCarlyle circle property50ae0e43143b
addedFormula valid over fields of characteristic ≠ 26ba05888cd0a
addedSquare root existence in extension fields3a06ba3db8c8
addedCharacteristic 2 case with b=0a01fd65c2d2d
added2-root R(c) in characteristic 217d3b26d184f
addedRoots of non-monic quadratic in characteristic 2d19d7ae8f287
addedQuadratics over F4 and F16cab5f9601bf8