Quartic Equation – a 4th degree Equation

A quartic equation, or equation of the fourth degree, is an equation consisting in equating to zero a quartic polynomial, of the form
ax4 + bx3 + cx2 + dx + e = 0
Where a ≠ 0.

Quartic Equation Roots Calculator

To Calculate the roots:

  • x4 +M

    x³ +

    x² +

  • x +

    e

  •  

Results:

  • x1: +

    i

  • x2: +

    i

  • x3: +

    i

  • x4: +

    i

Formula:
Quartic Equation : ax4 + bx3 + cx2 + dx + e = 0
NOTE : Let P and Q be the square root of any 2 non-zero roots.
P = sqrt(y1)
Q = sqrt(y3)
r = -g / (8pq)
s = b / (4a)
  x1 = p + q + r - s
  x2 = p - q - r - s
  x3> = -p + q - r - s
  x4 = -p - q + r - s