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Beliebt Algebra >

x^3+3x+4=0

Lösung

x^{3} + 3 x + 4 = 0

Lösung

x = - 1, x = \frac{1}{2} + i \frac{15}{2}, x = \frac{1}{2} - i \frac{15}{2}

Schritte zur Lösung

x^{3} + 3 x + 4 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

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

Die Lösungen sind

x = - 1, x = \frac{1}{2} + i \frac{15}{2}, x = \frac{1}{2} - i \frac{15}{2}

Graph

Beliebte Beispiele

x^{4} - 6 x^{2} - 7 = 0

x^{8} + 48 x^{4} - 49 = 0

x^{3} + x + 5 = 0

18x^4+6x^3-24x^2-8x=0

18 x^{4} + 6 x^{3} - 24 x^{2} - 8 x = 0

x^4-3x^3-3x^2+7x+6=0

x^{4} - 3 x^{3} - 3 x^{2} + 7 x + 6 = 0