# Quartic Equations Calculator

## Enter quartic equation coefficients:

x4
x3
x2
x
= 0

### How does the Quartic Equations Calculator work?

Solves quartic equations in the form ax4 + bx3 + cx2 + dx + e using the following methods:
1) Solve the long way for all roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.
This calculator has 6 inputs.

### What 5 formulas are used for the Quartic Equations Calculator?

1. f = c - (3/8b2)
2. g = d + ⅜b3 - ½bc
3. h = e - (3b4/256) + (b2 * c)/16 - bd/4
4. x3 + ½fx2 + ((f2 - 4h)/16)x - g2/64 = 0
5. Δ = 4b3 d - b2 c2 + 4ac3 - 18abcd + 27a2d2

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Quartic Equations Calculator?

discriminant
Shows how many roots and their properties a polynomial has
Δ
equation
a statement declaring two mathematical expressions are equal
quartic equations
4th degree polynomial equations
root
Value where a function equals zero