Tredjegradsligninger
| Matematik
Dette er en artikel der er relateret til faget matematik. |
Her er en kort formel til 3. gradsligninger.
Formler
Disse formler kan bruges i "Micro$oft Excel" eller "OpenOffice Calc"
- Variabler
- A27 = A
- B27 = B
- C27 = C
- D27 = D
- X1
- -B27/(3*A27)-(2^(1/3)*(-B27^2+3*A27*C27))/(3*A27*(-2*B27^3+9*A27*B27*C27-27*A27^2*D27+(4*(-B27^2+3*A27*C27)^3+(-2*B27^3+9*A27*B27*C27-27*A27^2*D27)^2)^(1/2))^(1/3))+(-2*B27^3+9*A27*B27*C27-27*A27^2*D27+(4*(-B27^2+3*A27*C27)^3+(-2*B27^3+9*A27*B27*C27-27*A27^2*D27)^2)^(1/2))^(1/3)/(3*2^(1/3)*A27)
- X2
- -B27/(3*A27)+((1+(3)^(1/2))*(-B27^2+3*A27*C27))/(3*2^(2/3)*A27*(-2*B27^3+9*A27*B27*C27-27*A27^2*D27+(4*(-B27^2+3*A27*C27)^3+(-2*B27^3+9*A27*B27*C27-27*A27^2*D27)^2)^(1/2))^(1/3))-(1-(3)^(1/2))*(-2*B27^3+9*A27*B27*C27-27*A27^2*D27+(4*(-B27^2+3*A27*C27)^3+(-2*B27^3+9*A27*B27*C27-27*A27^2*D27)^2)^(1/2))^(1/3)/(6*2^(1/3)*A27)
- X3
- -B27/(3*A27)+((1-(3)^(1/2))*(-B27^2+3*A27*C27))/(3*2^(2/3)*A27*(-2*B27^3+9*A27*B27*C27-27*A27^2*D27+(4*(-B27^2+3*A27*C27)^3+(-2*B27^3+9*A27*B27*C27-27*A27^2*D27)^2)^(1/2))^(1/3))-(1+(3)^(1/2))*(-2*B27^3+9*A27*B27*C27-27*A27^2*D27+(4*(-B27^2+3*A27*C27)^3+(-2*B27^3+9*A27*B27*C27-27*A27^2*D27)^2)^(1/2))^(1/3)/(6*2^(1/3)*A27)
- Se evt
