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Beliebt Algebra >

x^4-4x^3+x^2+6x-4=0

Lösung

x^{4} - 4 x^{3} + x^{2} + 6 x - 4 = 0

Lösung

x = 1, x = 1 + 5, x = 1 - 5

+1

Dezimale

x = 1, x = 3.23606 \dots, x = - 1.23606 \dots

Schritte zur Lösung

x^{4} - 4 x^{3} + x^{2} + 6 x - 4 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

x = 1, x = 1 + 5, x = 1 - 5

Graph

Beliebte Beispiele

d^{4} + 1 = 0

(3x+2)(2x+2)(x+1)=2944

(3 x + 2) (2 x + 2) (x + 1) = 2944

x^3-3x^2+2x-6=0

x^{3} - 3 x^{2} + 2 x - 6 = 0

5x^3+3x^2-7x+8=0

5 x^{3} + 3 x^{2} - 7 x + 8 = 0

2 x^{4} - x^{2} - 6 = 0