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Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x^{2} - x + 2 = 0 : x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

Die Lösungen sind

x = 0, x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

Graph

Beliebte Beispiele

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

x^3-9x^2-81x=-729

x^{3} - 9 x^{2} - 81 x = - 729

x^4-128^{13/5}=0

x^{4} - 12 8^{\frac{13}{5}} = 0

2 x^{4} + 3 x^{2} + 8 = 0

x^3-5x^2-30x-54=0

x^{3} - 5 x^{2} - 30 x - 54 = 0