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Beliebt Algebra >

x^3-9x^2-22x=0

Lösung

x^{3} - 9 x^{2} - 22 x = 0

Lösung

x = 0, x = - 2, x = 11

Schritte zur Lösung

x^{3} - 9 x^{2} - 22 x = 0

Faktorisiere

x^{3} - 9 x^{2} - 22 x : x (x + 2) (x - 11)

x (x + 2) (x - 11) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 2 = 0 or x - 11 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x - 11 = 0 : x = 11

Die Lösungen sind

x = 0, x = - 2, x = 11

Graph

Beliebte Beispiele

x^{3} + 2 x^{2} - 7 x = - 4

(x+2i)(x-2i)(x-5)=0

(x + 2 i) (x - 2 i) (x - 5) = 0

5x^3+13x^2-56x+20=0

5 x^{3} + 13 x^{2} - 56 x + 20 = 0

-2x^3-4x^2+10x+12=0

- 2 x^{3} - 4 x^{2} + 10 x + 12 = 0

solvefor x,x^4-11x^2+10=0

so l v e f or x, x^{4} - 11 x^{2} + 10 = 0