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Beliebt Algebra >

((D+3I)^2+4I)^2y=0

Lösung

((D + 3 I)^{2} + 4 I)^{2} y = 0

Lösung

I = \frac{- 3 D - 2 + 2 3 D + 1}{9}, I = - \frac{3 D + 2 3 D + 1 + 2}{9}, y = 0

Schritte zur Lösung

((D + 3 I)^{2} + 4 I)^{2} y = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

(D + 3 I)^{2} + 4 I = 0 or y = 0

Löse

(D + 3 I)^{2} + 4 I = 0 : I = \frac{- 3 D - 2 + 2 3 D + 1}{9}, I = - \frac{3 D + 2 3 D + 1 + 2}{9}

y = 0

Die Lösungen sind

I = \frac{- 3 D - 2 + 2 3 D + 1}{9}, I = - \frac{3 D + 2 3 D + 1 + 2}{9}, y = 0

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