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Beliebt Algebra >

(x^2-x)(x^3-x)(x^4-x)<0

Lösung

(x^{2} - x) (x^{3} - x) (x^{4} - x) < 0

Lösung

x < - 1 or 0 < x < 1

+1

Intervall-Notation

(- \infty, - 1) \cup (0, 1)

Schritte zur Lösung

(x^{2} - x) (x^{3} - x) (x^{4} - x) < 0

Faktor

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

x^{3} (x - 1)^{3} (x + 1) (x^{2} + x + 1) < 0

Identifiziere die Intervalle

x < - 1 or 0 < x < 1

Graph

Beliebte Beispiele

((x+1))/((x^2+2))> 1/4

\frac{( x + 1 )}{( x ^{2} + 2 )} > \frac{1}{4}

x^3+6x^2+11x+6>0

x^{3} + 6 x^{2} + 11 x + 6 > 0

1/(x-1)> 1/(x+1)

\frac{1}{x - 1} > \frac{1}{x + 1}

((x+6))/((x+2)-x)<= 0

\frac{( x + 6 )}{( x + 2 ) - x} \leq 0

\frac{x}{( x - 1 )} > 0