Revision #761 → #1138 · back to history
addedCubic equation3ed04f6acc42
addedReal cubic has a real root2fc4e9682220
addedReducible cubic with integer coefficientsd0e83649d7da
addedRational root test for cubics561c545c8d36
addedOther roots via quadratic formula1cfced5c8433
addedDepressed cubicac09dcf2c05e
addedReduction to depressed cubic via change of variable8bdd5e2a0402
addedRoots relation between original and depressed cubic348a23e7bed7
addedDiscriminant of a polynomial4cedd4eb3332
addedDiscriminant in terms of roots8129f0b8910d
addedDiscriminant of depressed cubicc45dbe264419
addedDiscriminant of general cubic35565eb949cd
addedEquivalence and sign of two discriminants67d6c3dc05b0
addedNature of real cubic roots by discriminant signcf0615c1ddf1
addedComplex conjugate roots of real polynomial51e1054aa3c6
addedZero discriminant implies multiple root3dcfd4e4bac8
addedTriple root case of depressed cubicb9d29ebf0a68
addedSimple and double roots of depressed cubic with zero discriminant23094adb0f4a
addedGeneral cubic with zero discriminant0e07c426e2ac
addedMultiple root via common root with derivative53e6d735ec8c
addedCardano's formula for depressed cubic1100778c5c4c
addedOther two roots via primitive cube roots of unity3d7d7857f248
addedCasus irreducibilis720d7d7bf7a9
addedCardano's formula via product conditionf41b271c436e
addedGeneral cubic formulaf3a4f16a7cfc
addedThree roots of general cubic via C and primitive cube root of unitye3114df736ad
addedViète's trigonometric formula for three real rootsda42ff5109b8
addedHyperbolic formula for one real rootd11e78039671
addedChebyshev cube root0f803a6053f3
addedOmar Khayyám's geometric solution1e1151c86842
addedSolvability with angle trisector7a42c660c308
addedCompass-and-straightedge solvabilityfef7eb8599f9
addedGeometric interpretation of Viète's roots on circled41a585835ed
addedGeometric meaning of real and complex roots in Cartesian plane4bd865829cc4
addedMarden's theorem for cubic rootsa27af488438c
addedGalois group of irreducible cubic is S3 or A3bf7537ca0491
addedGalois group A3 iff discriminant is a square4bf9c7c98799
addedCubic with Galois group A3db04f306d37a
addedCardano's method derivation7a18107a4bd0
addedVieta's substitution5579d4aee497
addedLagrange's method via discrete Fourier transform6f15339b8a58
addedS and P are symmetric functionsa3783130eb75
addedEigenvalues of 3×3 matrix as cubic roots7d7ba04f5e76
addedResolvent cubic of quarticaab85afeee80
addedCritical points of quartic75c4de3b08fb
addedInflection points of quinticd8ba8024f3a5
addedVan der Waals equation cubic in volumed2496c3766ea
addedKepler's third law cubic in semi-major axis4c0e52838009