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Cubic Equation


The formula ax3 + bx2 + cx + d = 0 is called the cubic equation, i.e. an equation that has into its terms one variable of the third degree. If a = 0, the equation is not cubic. If d = 0, the equation has a root equal to zero and becomes a quadratic when dividing all the terms by x.
The cubic equations can have real roots and imaginary (complex numbers). The imaginary part is shown, beginning with the letter i. Imaginary numbers, even though its name exist in many applications such as aerodynamics, electronics, electricity, etc.
The discriminant tells you the nature of the roots :
i - If more than zero, the equation has only one real root;
ii - If less than zero, the equation has all real roots ;
iii - If zero, the equation has real roots and all equal.
Enter data for the coefficients a , b , c y d . For positive numbers, the positive sign is dispensed.
To separate decimal place, use the decimal point. E.g. 15,151.47; enter 15151.47; The results will be displayed automatically after click on "Calculate".

Cubic Equation
Decimal places:     
a:  x3
b:  x2
c:    x
d:     
     
Discriminant: 
Note: 
x1 =
x2 =
x3 =








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