de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

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

Lösung

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

Lösung

- 1 < x < - \frac{1}{2}

+2

Intervall-Notation

(- 1, - \frac{1}{2})

Dezimale

- 1 < x < - 0.5

Schritte zur Lösung

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

Rewrite in standard form

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

Faktorisiere

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

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

Identifiziere die Intervalle

- 1 < x < - \frac{1}{2}

Graph

Beliebte Beispiele

(((x^3+x^2+x+1)(x-1)))/((x^4-4))>= 0

\frac{( ( x ^{3} + x ^{2} + x + 1 ) ( x - 1 ) )}{( x ^{4} - 4 )} \geq 0

(0.5)/(x-x^2-1)<0

\frac{0.5}{x - x ^{2} - 1} < 0

(x - 1)^{3} < 4 (x - 1)

(x + 2)^{2} > 9

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

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