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Beliebt Algebra >

2x^3+5x+7=0

Lösung

2 x^{3} + 5 x + 7 = 0

Lösung

x = - 1, x = \frac{1}{2} + i \frac{13}{2}, x = \frac{1}{2} - i \frac{13}{2}

Schritte zur Lösung

2 x^{3} + 5 x + 7 = 0

Faktorisiere

2 x^{3} + 5 x + 7 : (x + 1) (2 x^{2} - 2 x + 7)

(x + 1) (2 x^{2} - 2 x + 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x^{2} - 2 x + 7 = 0

Löse

x + 1 = 0 : x = - 1

Löse

2 x^{2} - 2 x + 7 = 0 : x = \frac{1}{2} + i \frac{13}{2}, x = \frac{1}{2} - i \frac{13}{2}

Die Lösungen sind

x = - 1, x = \frac{1}{2} + i \frac{13}{2}, x = \frac{1}{2} - i \frac{13}{2}

Graph

Beliebte Beispiele

x x^{2} + 5 x + 2 = - 4

x^3+12x^2+29*+18=0

x^{3} + 12 x^{2} + 29 \cdot + 18 = 0

4z(z^2-5)=4z^2-27

4 z (z^{2} - 5) = 4 z^{2} - 27

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

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