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Beliebt Algebra >

x(x^3-8)=0

Lösung

x (x^{3} - 8) = 0

Lösung

x = 0, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Schritte zur Lösung

x (x^{3} - 8) = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

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

Die Lösungen sind

x = 0, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Graph

Beliebte Beispiele

solvefor r,x= 5/3 pir^3

so l v e f or r, x = \frac{5}{3} π r^{3}

4x^3-6x^2-3= 1/2

4 x^{3} - 6 x^{2} - 3 = \frac{1}{2}

x^{4} - 4 x^{2} - 45 = 0

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

x^5+x^4+x^3+x^2+x=0

x^{5} + x^{4} + x^{3} + x^{2} + x = 0