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Beliebt Algebra >

3x^3-48x<x^2-16

Lösung

3 x^{3} - 48 x < x^{2} - 16

Lösung

x < - 4 or \frac{1}{3} < x < 4

+2

Intervall-Notation

(- \infty, - 4) \cup (\frac{1}{3}, 4)

Dezimale

x < - 4 or 0.33333 \dots < x < 4

Schritte zur Lösung

3 x^{3} - 48 x < x^{2} - 16

Rewrite in standard form

3 x^{3} - 48 x + 16 - x^{2} < 0

Faktorisiere

3 x^{3} - 48 x + 16 - x^{2} : (3 x - 1) (x + 4) (x - 4)

(3 x - 1) (x + 4) (x - 4) < 0

Identifiziere die Intervalle

x < - 4 or \frac{1}{3} < x < 4

Graph

Beliebte Beispiele

x^{2} - 4 x + 3 = 2

4/(x^2)< 5/(x^3)

\frac{4}{x ^{2}} < \frac{5}{x ^{3}}

6 x^{2} + 6 x - 12 x = 1

∣ x - 8 ∣ < - 1

faktorisieren 4x^2-(x+y)^2

f a c t or 4 x^{2} - (x + y)^{2}