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Beliebt Algebra >

x^4-2x^2+3>x^3+3

Lösung

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

Lösung

x < - 1 or x > 2

+1

Intervall-Notation

(- \infty, - 1) \cup (2, \infty)

Schritte zur Lösung

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

Rewrite in standard form

x^{4} - 2 x^{2} - x^{3} > 0

Faktorisiere

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

x^{2} (x + 1) (x - 2) > 0

Identifiziere die Intervalle

x < - 1 or x > 2

Graph

Beliebte Beispiele

x^{3} + x^{3} - x - 1 > 0

(x^2-4)(x^2-9)>= 0

(x^{2} - 4) (x^{2} - 9) \geq 0

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(x^2-12x+32)(x-1)-10(x-8)>0

(x^{2} - 12 x + 32) (x - 1) - 10 (x - 8) > 0

\frac{6}{x - 2} > - x - 3