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Beliebt Algebra >

x^4+8x^3-3x^2-26x-16=0

Lösung

x^{4} + 8 x^{3} - 3 x^{2} - 26 x - 16 = 0

Lösung

x = - 1, x = 2, x = - 8

Schritte zur Lösung

x^{4} + 8 x^{3} - 3 x^{2} - 26 x - 16 = 0

Faktorisiere

x^{4} + 8 x^{3} - 3 x^{2} - 26 x - 16 : (x + 1)^{2} (x - 2) (x + 8)

(x + 1)^{2} (x - 2) (x + 8) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x - 2 = 0 or x + 8 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 2 = 0 : x = 2

Löse

x + 8 = 0 : x = - 8

Die Lösungen sind

x = - 1, x = 2, x = - 8

Graph

Beliebte Beispiele

x^{5} - 4 x^{3} - 3 = 0

6x^4-x^3-6x^2-12x-5=0

6 x^{4} - x^{3} - 6 x^{2} - 12 x - 5 = 0

((x+3)(x-3))^2=100

((x + 3) (x - 3))^{2} = 100

c^{3} = - 64

x^4+6x^3+3x^2-16x+6=0

x^{4} + 6 x^{3} + 3 x^{2} - 16 x + 6 = 0