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Mathematics
Algebra: Cubic Equation
Vectors
Matrices
Vector Space
Algebra
Factorization
Complex Numbers
Quadratic Equation
Cubic Equation
Polynomial Roots
System of Linear
Equations
Calculus
Logic
Analytic Geometry
Statistics & Probability
Geometry
Special Functions
Find the solution for
x
in the cubic equation
A
x
3
+
B
x
2
+
C
x
+
D
= 0
Solution is
x
k
= -
1
3
A
(
B
+ ξ
(
k
-1)
γ +
α
ξ
(
k
-1)
γ
)
,
k
∈ {1, 2, 3}
where
α =
B
2
- 3
A
C
β = 2
B
3
- 9
A
B
C
+ 27
A
2
D
γ =
∛
β ±
√
β
2
- 4α
3
2
ξ =
-1 +
√
-3
2
Please specify the coefficients
A
=
B
=
C
=
D
=
Solve
Solution:
x
2
=
x
2
=
x
3
=
