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Beliebt Algebra >

x^4+9x^3+12x^2-34x+12=0

Lösung

x^{4} + 9 x^{3} + 12 x^{2} - 34 x + 12 = 0

Lösung

x = 1, x = - 6, x = - 2 + 6, x = - 2 - 6

+1

Dezimale

x = 1, x = - 6, x = 0.44948 \dots, x = - 4.44948 \dots

Schritte zur Lösung

x^{4} + 9 x^{3} + 12 x^{2} - 34 x + 12 = 0

Faktorisiere

x^{4} + 9 x^{3} + 12 x^{2} - 34 x + 12 : (x - 1) (x + 6) (x^{2} + 4 x - 2)

(x - 1) (x + 6) (x^{2} + 4 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x + 6 = 0 or x^{2} + 4 x - 2 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 6 = 0 : x = - 6

Löse

x^{2} + 4 x - 2 = 0 : x = - 2 + 6, x = - 2 - 6

Die Lösungen sind

x = 1, x = - 6, x = - 2 + 6, x = - 2 - 6

Graph

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