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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.

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Cubic Equation Calculator

To calculate the roots:
For example ,Enter a=1, b=8, c=16 and d=10.
ax3 + bx2 + cx + d = 0
x³ + x² + x+ d = 0




Results:
X1: +   i
X2: +   i
X3: +   i

  
   
  


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