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Beliebt Algebra >

(x+2)(5x^2+9)(x^2+3)=0

Lösung

(x + 2) (5 x^{2} + 9) (x^{2} + 3) = 0

Lösung

x = - 2, x = \frac{3}{5} i, x = - \frac{3}{5} i, x = 3 i, x = - 3 i

Schritte zur Lösung

(x + 2) (5 x^{2} + 9) (x^{2} + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or 5 x^{2} + 9 = 0 or x^{2} + 3 = 0

Löse

x + 2 = 0 : x = - 2

Löse

5 x^{2} + 9 = 0 : x = \frac{3}{5} i, x = - \frac{3}{5} i

Löse

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

Die Lösungen sind

x = - 2, x = \frac{3}{5} i, x = - \frac{3}{5} i, x = 3 i, x = - 3 i

Graph

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