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Beliebt Algebra >

3(x^3+8)(x+5)=0

Lösung

3 (x^{3} + 8) (x + 5) = 0

Lösung

x = - 2, x = - 5, x = 1 + 3 i, x = 1 - 3 i

Schritte zur Lösung

3 (x^{3} + 8) (x + 5) = 0

Faktorisiere

3 (x^{3} + 8) (x + 5) : 3 (x + 2) (x + 5) (x^{2} - 2 x + 4)

3 (x + 2) (x + 5) (x^{2} - 2 x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x + 5 = 0 or x^{2} - 2 x + 4 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x + 5 = 0 : x = - 5

Löse

x^{2} - 2 x + 4 = 0 : x = 1 + 3 i, x = 1 - 3 i

Die Lösungen sind

x = - 2, x = - 5, x = 1 + 3 i, x = 1 - 3 i

Graph

Beliebte Beispiele

x^{3} - 4 x - x + 4 = 0

p^{4} - 13 p^{2} + 36 = 0

x^{3} + 4 x^{2} - 6 = 0

4 x^{2} 8 x - 7 = 0

3x^3+12x=5x^2+20

3 x^{3} + 12 x = 5 x^{2} + 20