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Beliebt Algebra >

x^3-11x^2-11x+121=0

Lösung

x^{3} - 11 x^{2} - 11 x + 121 = 0

Lösung

x = 11, x = - 11, x = 11

+1

Dezimale

x = 11, x = - 3.31662 \dots, x = 3.31662 \dots

Schritte zur Lösung

x^{3} - 11 x^{2} - 11 x + 121 = 0

Faktorisiere

x^{3} - 11 x^{2} - 11 x + 121 : (x - 11) (x + 11) (x - 11)

(x - 11) (x + 11) (x - 11) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 11 = 0 or x + 11 = 0 or x - 11 = 0

Löse

x - 11 = 0 : x = 11

Löse

x + 11 = 0 : x = - 11

Löse

x - 11 = 0 : x = 11

Die Lösungen sind

x = 11, x = - 11, x = 11

Graph

Beliebte Beispiele

x^3+5x^2-36x-180=0

x^{3} + 5 x^{2} - 36 x - 180 = 0

8 x^{4} + 27 = 0

x^3+14x^2+76x+96=0

x^{3} + 14 x^{2} + 76 x + 96 = 0

solvefor y,x=y^4+1

so l v e f or y, x = y^{4} + 1

0 = x^{3} - 25 x