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Quartic Equation Solver
Quartic Equation Solver
Roots of a degree-four polynomial
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a (x⁴ coefficient)
b (x³ coefficient)
c (x² coefficient)
d (x coefficient)
e (constant)
1x⁴ + (-10)x³ + (35)x² + (-50)x + (24) = 0
Discriminant (Δ)
144
Classification
Four real roots
Roots
x = 1
x = 2
x = 3
x = 4
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Quartic curve y = ax⁴ + bx³ + cx² + dx + e
Plot of the quartic with its real roots marked where the curve crosses the x-axis. Four real roots.
-1
1
2
3
4
5
6
x
1
2
3
4
