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Beliebt Algebra >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

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

Graph

Beliebte Beispiele

- m^{8} + 7 = 5

2x^5-20x^3+42x=0

2 x^{5} - 20 x^{3} + 42 x = 0

solvefor x,1x^6-5x^2=0

so l v e f or x, 1 x^{6} - 5 x^{2} = 0

16 x - 2 x^{3} = \frac{16}{3}

3x^3-19x^2+36x-10=0

3 x^{3} - 19 x^{2} + 36 x - 10 = 0