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Beliebt Algebra >

x^4+4x^3-5x^2-16x+4=0

Lösung

x^{4} + 4 x^{3} - 5 x^{2} - 16 x + 4 = 0

Lösung

x = - 2, x = 2, x = - 2 + 5, x = - 2 - 5

+1

Dezimale

x = - 2, x = 2, x = 0.23606 \dots, x = - 4.23606 \dots

Schritte zur Lösung

x^{4} + 4 x^{3} - 5 x^{2} - 16 x + 4 = 0

Faktorisiere

x^{4} + 4 x^{3} - 5 x^{2} - 16 x + 4 : (x + 2) (x - 2) (x^{2} + 4 x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Löse

x^{2} + 4 x - 1 = 0 : x = - 2 + 5, x = - 2 - 5

Die Lösungen sind

x = - 2, x = 2, x = - 2 + 5, x = - 2 - 5

Graph

Beliebte Beispiele

3x^5+x^4-9x^3-9x^2-2x=0

3 x^{5} + x^{4} - 9 x^{3} - 9 x^{2} - 2 x = 0

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f a c t or x^{3} + 125 = 0

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

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