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Beliebt Algebra >

(x^2+8)(2x^2-10)=0

Lösung

(x^{2} + 8) (2 x^{2} - 10) = 0

Lösung

x = 22 i, x = - 22 i, x = - 5, x = 5

Schritte zur Lösung

(x^{2} + 8) (2 x^{2} - 10) = 0

Faktorisiere

(x^{2} + 8) (2 x^{2} - 10) : 2 (x^{2} + 8) (x + 5) (x - 5)

2 (x^{2} + 8) (x + 5) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x^{2} + 8 = 0 or x + 5 = 0 or x - 5 = 0

Löse

x^{2} + 8 = 0 : x = 22 i, x = - 22 i

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 22 i, x = - 22 i, x = - 5, x = 5

Graph

Beliebte Beispiele

z^{6} + 2 z^{3} + 2 = 0

a^{4} = 54

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

z^{6} - 8 = 0

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