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Beliebt Algebra >

3x^3-2x+1=0

Lösung

3 x^{3} - 2 x + 1 = 0

Lösung

x = - 1, x = \frac{1}{2} + i \frac{3}{6}, x = \frac{1}{2} - i \frac{3}{6}

Schritte zur Lösung

3 x^{3} - 2 x + 1 = 0

Faktorisiere

3 x^{3} - 2 x + 1 : (x + 1) (3 x^{2} - 3 x + 1)

(x + 1) (3 x^{2} - 3 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 3 x^{2} - 3 x + 1 = 0

Löse

x + 1 = 0 : x = - 1

Löse

3 x^{2} - 3 x + 1 = 0 : x = \frac{1}{2} + i \frac{3}{6}, x = \frac{1}{2} - i \frac{3}{6}

Die Lösungen sind

x = - 1, x = \frac{1}{2} + i \frac{3}{6}, x = \frac{1}{2} - i \frac{3}{6}

Graph

Beliebte Beispiele

x^3+0x^2+0x+1=0

x^{3} + 0 x^{2} + 0 x + 1 = 0

x^{3} - 15 x = 2 x^{2}

16x^3-32x^2-x+2=0

16 x^{3} - 32 x^{2} - x + 2 = 0

a^3+(6-a)^2-36=0

a^{3} + (6 - a)^{2} - 36 = 0

- x^{3} + 6 x = 0