# Quartic Equation – a 4^{th} 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.

## Quartic Equation Roots Calculator

### To Calculate the roots:

### Results:

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**Formula:**
Quartic Equation : ax

^{4} + bx

^{3} + cx

^{2} + dx + e = 0

NOTE : Let P and Q be the square root of any 2 non-zero 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