Cubic equation Calculator

A cubic equation has the form ax3 + bx2 + cx + d = 0. It must have the term in x3 or it would not be cubic but any or all of b, c and d can be zero. Free online cubic equation calculation, used to find the roots of the cubic equation using this calculator.

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>> A simple Cubic Equation tutorial.

Related Topics

Quadratic Equation

Cubic Equation

Quartic Equation

Complex Number

Cubic Equation Calculator.

To calculate the roots:

For example ,Enter a=1, b=8, c=16 and d=10.

Cubic Equation Formula:
discriminant(Δ) = q³ + r²
q = (3c- b²)/9
r = -27d + b(9c-2b²)
s = r + math.sqrt(discriminant)
t = r - math.sqrt(discriminant)
term1 = math.sqrt(3.0)*((-t + s)/2)
r₁₃= 2 * math.sqrt(q)
x₁=(- term1 + r₁₃*math.cos(q³/3) )
x₂=(- term1 + r₁₃*math.cos(q³+(2*math.PI)/3) )
x₃=(- term1 + r₁₃*math.cos(q³+(4*math.PI)/3) )

This calculator will help you dynamically to calculate the roots of the cubic equation. Easy to understand and use.

Related Articles:
>> A simple Cubic Equation tutorial.

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