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Beliebt Algebra >

x^3-21x^2+111x-11=0

Lösung

x^{3} - 21 x^{2} + 111 x - 11 = 0

Lösung

x = 11, x = 5 + 26, x = 5 - 26

+1

Dezimale

x = 11, x = 9.89897 \dots, x = 0.10102 \dots

Schritte zur Lösung

x^{3} - 21 x^{2} + 111 x - 11 = 0

Faktorisiere

x^{3} - 21 x^{2} + 111 x - 11 : (x - 11) (x^{2} - 10 x + 1)

(x - 11) (x^{2} - 10 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 11 = 0 or x^{2} - 10 x + 1 = 0

Löse

x - 11 = 0 : x = 11

Löse

x^{2} - 10 x + 1 = 0 : x = 5 + 26, x = 5 - 26

Die Lösungen sind

x = 11, x = 5 + 26, x = 5 - 26

Graph

Beliebte Beispiele

x^4-18x^2=18x^2

x^{4} - 18 x^{2} = 18 x^{2}

x (x + 3) (x + 3) = 0

x^3+4x^2+x-26=0

x^{3} + 4 x^{2} + x - 26 = 0

9 x^{3} - 25 x = 0

(1 + j)^{4} = 1.1