I-Equation
I-mathematical equation yintetho enee-variables, nokokuba inye ubuncinane, (Uyawukhumbula ke okokuba xa kuthethwa nge-variable kuthethwa ngexabiso elingaziwayo) (=unknown value) kunye nophawu olubonisa isiphumo saloo nto ibaliweyo (uphawu lwe-"equals sign" ( = ) oluhamba nentetho yakwamathematika kicala ngalinye.[1][2][3] Uphawu olubonisa isiphumo (=) luthi omabini amacala anexabiso alifana ncam, okanye ayinto enye ngokwexabiso. I-equation ingasuka ibe yinto elula enje: x=0, okanye ibe yinto enzima enje: 4(3y^99)+76=42÷3x okanye ibenzima nagaphezulu koku.
Zimbini iintlobo ze-equation yemathematika
- Uhlobo lwe-equation olusenokuba yinyaniso okanye ubuxoki; olu ke lukwabizwa ngokuba zii-identities. Umzekelo:
- Uhlobo lwe-equation elikwenza okokuba ubale ixabiso le-variable enye nangaphezulu. I-equation yaziwa ngokuba yinyaniso kuphela xa ii-variables zinelo xabiso lithile. Umzekelo:
Uhlobo lwesibini lusoloko lusetyenziswa ukusombulula ingxaki apho umelwe kukwazi ixabiso lee-variables ezithile. Umzekelo:
Uhlobo lwesibini kwi-equation lusetyenziswa kwi-algebra. umzekelo, ukusombulula i-equation engu-2x = 8 ngokuthi ufumane u-x uyakulandela umthetho wakwa-Algebra. Ngoko uyakubala ngolu hlobo: x = 4.
Iintlobo zee-equations
Ii-equations zingahlulwa-hlulwa ngokweendlela ezisebenza ngazo nobungakanani bazo ngokwenani nabo buyabandakanyeka. ezinye iintlobo zee-equations zezi:
- I-algebraic equation yi-equation apho athi omabini amacala abe zii-polynomials. Ezi ke zona zahlulwahlulwa ngokwamaqondo azo angala:
- linear equation for degree one
- quadratic equation for degree two
- cubic equation for degree three
- quartic equation for degree four
- quintic equation for degree five
- A Diophantine equation is an equation where the unknowns are required to be integers
- A differential equation is a functional equation involving derivatives of the unknown functions
References
- ↑ An equation is an equality that is true only for certain values of the variable.
- ↑ "A statement of equality between two expressions.
- ↑ Une équation est une égalité entre deux expressions mathématiques, donc une formule de la forme A = B, où les deux membres A et B de l'équation sont des expressions où figurent une ou plusieurs variables, représentées par des lettres.