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Beliebt Algebra >

(x^2-x)^2+3(x^2-x)>0

Lösung

(x^{2} - x)^{2} + 3 (x^{2} - x) > 0

Lösung

x < 0 or x > 1

+1

Intervall-Notation

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

Schritte zur Lösung

(x^{2} - x)^{2} + 3 (x^{2} - x) > 0

Faktor

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

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

Identifiziere die Intervalle

x < 0 or x > 1

Graph

Beliebte Beispiele

3/((2x-1))>= 5/((x-1))

\frac{3}{( 2 x - 1 )} \geq \frac{5}{( x - 1 )}

((x^2-5))/((x-1))>=-1

\frac{( x ^{2} - 5 )}{( x - 1 )} \geq - 1

x^4-2x^2-63<= 0

x^{4} - 2 x^{2} - 63 \leq 0

((x-1))/((2-x))>= 0

\frac{( x - 1 )}{( 2 - x )} \geq 0

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

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