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Beliebt Algebra >

(((x^2-1)*(x-2)^2))/((x-3))<0

Lösung

\frac{( ( x ^{2} - 1 ) \cdot ( x - 2 ) ^{2} )}{( x - 3 )} < 0

Lösung

x < - 1 or 1 < x < 2 or 2 < x < 3

+1

Intervall-Notation

(- \infty, - 1) \cup (1, 2) \cup (2, 3)

Schritte zur Lösung

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

Faktorisiere

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

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

Identifiziere die Intervalle

x < - 1 or 1 < x < 2 or 2 < x < 3

Graph

Beliebte Beispiele

- x^{2} + 2 x + 8 => 0

((x-3))/((2x-1))>= 4

\frac{( x - 3 )}{( 2 x - 1 )} \geq 4

5[-(4-3x)]<2(7x+9)

5 [- (4 - 3 x)] < 2 (7 x + 9)

((7x-2))/((2-x))<= 2

\frac{( 7 x - 2 )}{( 2 - x )} \leq 2

2/((x-1))< 3/((2x-3))

\frac{2}{( x - 1 )} < \frac{3}{( 2 x - 3 )}