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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

x^{3} + 2 x - 7 = 0

x^{4} - 40 x + 75 = 0

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

x^3-8x^2+29x-52=0

x^{3} - 8 x^{2} + 29 x - 52 = 0

(1+0.35)=(1+x)^3

(1 + 0.35) = (1 + x)^{3}