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
ax^{4} + bx^{3} + cx^{2} + dx + e = 0
Where a ≠ 0.
ax^{4} + bx^{3} + cx^{2} + dx + e = 0
Where a ≠ 0.
Quartic Equation Roots Calculator
To Calculate the roots:

x^{4} +M
x³ +
x² +

x +
e

Results:

x_{1}: +
i

x_{2}: +
i

x_{3}: +
i

x_{4}: +
i
Formula:
Quartic Equation : ax^{4} + bx^{3} + cx^{2} + dx + e = 0
NOTE : Let P and Q be the square root of any 2 nonzero roots.
P = sqrt(y_{1})
Q = sqrt(y_{3})
r = g / (8pq)
s = b / (4a)
x_{1} = p + q + r  s
x_{2} = p  q  r  s
x_{3}> = p + q  r  s
x_{4} = p  q + r  s