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Beliebt Algebra >

4x^3+x^2+100x+25=0

Lösung

4 x^{3} + x^{2} + 100 x + 25 = 0

Lösung

x = - \frac{1}{4}, x = 5 i, x = - 5 i

Schritte zur Lösung

4 x^{3} + x^{2} + 100 x + 25 = 0

Faktorisiere

4 x^{3} + x^{2} + 100 x + 25 : (4 x + 1) (x^{2} + 25)

(4 x + 1) (x^{2} + 25) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

4 x + 1 = 0 or x^{2} + 25 = 0

Löse

4 x + 1 = 0 : x = - \frac{1}{4}

Löse

x^{2} + 25 = 0 : x = 5 i, x = - 5 i

Die Lösungen sind

x = - \frac{1}{4}, x = 5 i, x = - 5 i

Graph

Beliebte Beispiele

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