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Beliebt Algebra >

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

Lösung

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

Lösung

- 3 < x < 1

+1

Intervall-Notation

(- 3, 1)

Schritte zur Lösung

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

Faktorisiere

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

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

Identifiziere die Intervalle

- 3 < x < 1

Graph

Beliebte Beispiele

((x-2))/((x^2+1))<= 0

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

(((x^2-5)(x^2-4)))/((x-1))<= 0

\frac{( ( x ^{2} - 5 ) ( x ^{2} - 4 ) )}{( x - 1 )} \leq 0

((x^2-5x+12))/((x^2-4x+5))>3

\frac{( x ^{2} - 5 x + 12 )}{( x ^{2} - 4 x + 5 )} > 3

((2x-x^2))/(((3+x)(5-x)))<0

\frac{( 2 x - x ^{2} )}{( ( 3 + x ) ( 5 - x ) )} < 0

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

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