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Beliebt Algebra >

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

Lösung

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

Lösung

x = 1, x = - 2 + 2, x = - 2 - 2

+1

Dezimale

x = 1, x = - 0.58578 \dots, x = - 3.41421 \dots

Schritte zur Lösung

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

Faktorisiere

x^{3} + 3 x^{2} - 2 x - 2 : (x - 1) (x^{2} + 4 x + 2)

(x - 1) (x^{2} + 4 x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x^{2} + 4 x + 2 = 0

Löse

x - 1 = 0 : x = 1

Löse

x^{2} + 4 x + 2 = 0 : x = - 2 + 2, x = - 2 - 2

Die Lösungen sind

x = 1, x = - 2 + 2, x = - 2 - 2

Graph

Beliebte Beispiele

-x^3+10x^2-33x+36=0

- x^{3} + 10 x^{2} - 33 x + 36 = 0

x^{3} - 6 x = 3 x^{2} - 8

y^{4} - 4 y = 0

3 s^{3} - 5 s + 2 = 0

(x^2+4x)^2-17(x^2+4x)=60

(x^{2} + 4 x)^{2} - 17 (x^{2} + 4 x) = 60