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Beliebt Algebra >

x^3-11x^2-16x+176=0

Lösung

x^{3} - 11 x^{2} - 16 x + 176 = 0

Lösung

x = 11, x = - 4, x = 4

Schritte zur Lösung

x^{3} - 11 x^{2} - 16 x + 176 = 0

Faktorisiere

x^{3} - 11 x^{2} - 16 x + 176 : (x - 11) (x + 4) (x - 4)

(x - 11) (x + 4) (x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 11 = 0 or x + 4 = 0 or x - 4 = 0

Löse

x - 11 = 0 : x = 11

Löse

x + 4 = 0 : x = - 4

Löse

x - 4 = 0 : x = 4

Die Lösungen sind

x = 11, x = - 4, x = 4

Graph

Beliebte Beispiele

12x^3+24x^2-96x=0

12 x^{3} + 24 x^{2} - 96 x = 0

(x^2+x+6)(x^2+x-4)=144

(x^{2} + x + 6) (x^{2} + x - 4) = 144

n^{3} - n = 6 n^{2} - 6

x^3+13x^2+40x+36=0

x^{3} + 13 x^{2} + 40 x + 36 = 0

z^{6} - z^{3} - 2 = 0