Cubic Explorer

Curated Integer Cases ($x^3 - x^2 = \text{RHS}$)

Coefficients (Integers $0 \dots 100$)

A ($x^3$ term)

0 100

B ($x^2$ term)

0 100

C ($x$ term)

0 100

D (Constant on LHS)

0 100

RHS (Target constant)

0 100

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Exact Integer Root: $x = 5$ since $5^3 - 5^2 = 100$

Calculus & Root Diagnostics 1 Real Root

Real Root(s) $x$ x = 5.0000

Complex Roots -2.0000 ± 4.0000i

Critical Points ($f' = 0$) Max (0, 0), Min (0.667, -0.148)

Inflection Point ($f'' = 0$) (0.333, -0.074)

Discriminant ($\Delta$) Δ > 0 (1 Real Root)

x: 0.00, y: 0.00

$y = f(x)$

$y = \text{RHS}$

Exact Integer Root Guideline

Integer $x \in [0, 100]$ Lines