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.
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
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
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
Example calculations for the Quartic Equations Calculator
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