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Beliebt Algebra >

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

Lösung

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

Lösung

x = 1, x = 1 + 3, x = 1 - 3

+1

Dezimale

x = 1, x = 2.73205 \dots, x = - 0.73205 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

x = 1, x = 1 + 3, x = 1 - 3

Graph

Beliebte Beispiele

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

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2x^4+17x^3+43x^2+37x+6=0

2 x^{4} + 17 x^{3} + 43 x^{2} + 37 x + 6 = 0

4 x^{4} - 13 x + 3 = 0

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