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Beliebt Algebra >

x^4+16x-12=0

Lösung

x^{4} + 16 x - 12 = 0

Lösung

x = - 1 + 3, x = - 1 - 3, x = 1 + 5 i, x = 1 - 5 i

Schritte zur Lösung

x^{4} + 16 x - 12 = 0

Faktorisiere

x^{4} + 16 x - 12 : (x^{2} + 2 x - 2) (x^{2} - 2 x + 6)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x^{2} + 2 x - 2 = 0 : x = - 1 + 3, x = - 1 - 3

Löse

x^{2} - 2 x + 6 = 0 : x = 1 + 5 i, x = 1 - 5 i

Die Lösungen sind

x = - 1 + 3, x = - 1 - 3, x = 1 + 5 i, x = 1 - 5 i

Graph

Beliebte Beispiele

x^3-6x^2-36x=-216

x^{3} - 6 x^{2} - 36 x = - 216

c x^{2} + 2 x = x^{3} - c x

2t^3-3t^2-12t-42=0

2 t^{3} - 3 t^{2} - 12 t - 42 = 0

4x^3-24x^2+32x=0

4 x^{3} - 24 x^{2} + 32 x = 0

x^3+2022x^2=20222022

x^{3} + 2022 x^{2} = 20222022