Online calculator Polynomial equation


Calculator of Polynomial equation

Formula of Polynomial equation

p = (1/3) [(3c/a) – (b2) / a2) ]
q = (1/27) [ (2b3 / a3) – (9bc / a2) + (27e / a) ]
D = (p/3)3 + (q/2)2

If D value is greater than 0:

u = [ (-q/2) + D1/2 ] 1/3
v = [ (-q/2) – D1/2 ] 1/3
x = u+v
s = [- (u+v)/2 ]
t = [(u-v / 2) * 31/2]
y = s+t
z = s-t

If D value is less than 0:

Φ = acos [ (-q/2) (|p| / 3) -3/2 ]
x = 2 [ (|p| / 3)1/2 cos (Φ/3) ]
y = -2 [ (|p| / 3)1/2 cos (Φ + π)/3 ]
z =-2 [ (|p| / 3)1/2 cos (Φ – π)/3 ]

  • D – Discriminant
  • p,q – Real Constant
  • a,b,c,e – Real Constant
  • x,y,z – Cubic root
  • u,v – Real Constant
  • s,t – Temp Variable
  • cos – Cosine
  • Φ – Angle

 

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