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Beliebt Algebra >

x^3+x-30=0

Lösung

x^{3} + x - 30 = 0

Lösung

x = 3, x = - \frac{3}{2} + i \frac{31}{2}, x = - \frac{3}{2} - i \frac{31}{2}

Schritte zur Lösung

x^{3} + x - 30 = 0

Faktorisiere

x^{3} + x - 30 : (x - 3) (x^{2} + 3 x + 10)

(x - 3) (x^{2} + 3 x + 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x^{2} + 3 x + 10 = 0

Löse

x - 3 = 0 : x = 3

Löse

x^{2} + 3 x + 10 = 0 : x = - \frac{3}{2} + i \frac{31}{2}, x = - \frac{3}{2} - i \frac{31}{2}

Die Lösungen sind

x = 3, x = - \frac{3}{2} + i \frac{31}{2}, x = - \frac{3}{2} - i \frac{31}{2}

Graph

Beliebte Beispiele

3 x^{3} - 48 x = 0

x^{3} + 1 = 9

x^{2} (x - 3) = - 4

x^3-9x^2+9x-81=0

x^{3} - 9 x^{2} + 9 x - 81 = 0

x^{4} = 20