Algebra & Equations

Cubic Real Root

A real root of a cubic via Newton's method.

Formula

Formula
ax3 + bx2 + cx + d = 0

Variables

SymbolDefinitionType & rangeUnitsRole
a cubic coefficient real number (ℝ) — input
b quadratic coefficient real number (ℝ) — input
c linear coefficient real number (ℝ) — input
d constant real number (ℝ) — input

Try it yourself

Interactive calculator
Result
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Worked examples

Example 1
Givena = 1, b = -6, c = 11, d = -6
Result1
Example 2
Givena = 1, b = 0, c = 0, d = -8
Result2