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

Lösung

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

x < - 3 or x > 3

Intervall-Notation

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

Schritte zur Lösung

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

Faktorisiere

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

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

Identifiziere die Intervalle

x < - 3 or x > 3

4 x = 96

- 5 x < - 35

3 - 2 (b - 2) = 2 - 7 b

\frac{4}{x - 5} \geq \frac{2}{x - 3}

0.5 x^{2} + 2 x = 120