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Beliebt Algebra >

x^2(x-1)+2x=0

Lösung

x^{2} (x - 1) + 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^{2} (x - 1) + 2 x = 0

Faktorisiere

x^{2} (x - 1) + 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

20x^3+12x^2-12x-2=0

20 x^{3} + 12 x^{2} - 12 x - 2 = 0

6 x^{3} + 4 x^{2} = 10 x

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

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

solvefor n,A=2rh+2sn^3

so l v e f or n, A = 2 r h + 2 s n^{3}

x^3-7x^2+19x-13=0

x^{3} - 7 x^{2} + 19 x - 13 = 0