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Beliebt Algebra >

x(x^2-11)(x^2+49)=0

Lösung

x (x^{2} - 11) (x^{2} + 49) = 0

Lösung

x = 0, x = 7 i, x = - 7 i, x = - 11, x = 11

Schritte zur Lösung

x (x^{2} - 11) (x^{2} + 49) = 0

Faktorisiere

x (x^{2} - 11) (x^{2} + 49) : x (x^{2} + 49) (x + 11) (x - 11)

x (x^{2} + 49) (x + 11) (x - 11) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 49 = 0 or x + 11 = 0 or x - 11 = 0

Löse

x^{2} + 49 = 0 : x = 7 i, x = - 7 i

Löse

x + 11 = 0 : x = - 11

Löse

x - 11 = 0 : x = 11

Die Lösungen sind

x = 0, x = 7 i, x = - 7 i, x = - 11, x = 11

Graph

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