Enter quartic equation coefficients:

= 0
How does the Quartic Equations Calculator work?
Free Quartic Equations Calculator - 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?

f = c - (3/8b2)
g = d + ⅜b3 - ½bc
h = e - (3b4/256) + (b2 * c)/16 - bd/4
x3 + ½fx2 + ((f2 - 4h)/16)x - g2/64 = 0
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?
Shows how many roots and their properties a polynomial has
a statement declaring two mathematical expressions are equal
quartic equations
4th degree polynomial equations
Value where a function equals zero
Example calculations for the Quartic Equations Calculator