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Beliebt Algebra >

2x^3-72x<x^2-36

Lösung

2 x^{3} - 72 x < x^{2} - 36

Lösung

x < - 6 or \frac{1}{2} < x < 6

+2

Intervall-Notation

(- \infty, - 6) \cup (\frac{1}{2}, 6)

Dezimale

x < - 6 or 0.5 < x < 6

Schritte zur Lösung

2 x^{3} - 72 x < x^{2} - 36

Rewrite in standard form

2 x^{3} - 72 x + 36 - x^{2} < 0

Faktorisiere

2 x^{3} - 72 x + 36 - x^{2} : (2 x - 1) (x + 6) (x - 6)

(2 x - 1) (x + 6) (x - 6) < 0

Identifiziere die Intervalle

x < - 6 or \frac{1}{2} < x < 6

Graph

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