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Beliebt Algebra >

4x^3-13x^2+4x-3=0

Lösung

4 x^{3} - 13 x^{2} + 4 x - 3 = 0

Lösung

x = 3, x = \frac{1}{8} + i \frac{15}{8}, x = \frac{1}{8} - i \frac{15}{8}

Schritte zur Lösung

4 x^{3} - 13 x^{2} + 4 x - 3 = 0

Faktorisiere

4 x^{3} - 13 x^{2} + 4 x - 3 : (x - 3) (4 x^{2} - x + 1)

(x - 3) (4 x^{2} - x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or 4 x^{2} - x + 1 = 0

Löse

x - 3 = 0 : x = 3

Löse

4 x^{2} - x + 1 = 0 : x = \frac{1}{8} + i \frac{15}{8}, x = \frac{1}{8} - i \frac{15}{8}

Die Lösungen sind

x = 3, x = \frac{1}{8} + i \frac{15}{8}, x = \frac{1}{8} - i \frac{15}{8}

Graph

Beliebte Beispiele

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