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Beliebt Algebra >

2x^3-5x^2+6x-2=0

Lösung

2 x^{3} - 5 x^{2} + 6 x - 2 = 0

Lösung

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

Schritte zur Lösung

2 x^{3} - 5 x^{2} + 6 x - 2 = 0

Faktorisiere

2 x^{3} - 5 x^{2} + 6 x - 2 : (2 x - 1) (x^{2} - 2 x + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

16x^6-24x^4+9x^2-1=0

16 x^{6} - 24 x^{4} + 9 x^{2} - 1 = 0

4 x^{3} + 2 x + 7 = - 1

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

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

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

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