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Beliebt Algebra >

4x^3+12x^2+18x+10=0

Lösung

4 x^{3} + 12 x^{2} + 18 x + 10 = 0

Lösung

x = - 1, x = - 1 + i \frac{3}{2}, x = - 1 - i \frac{3}{2}

Schritte zur Lösung

4 x^{3} + 12 x^{2} + 18 x + 10 = 0

Faktorisiere

4 x^{3} + 12 x^{2} + 18 x + 10 : 2 (x + 1) (2 x^{2} + 4 x + 5)

2 (x + 1) (2 x^{2} + 4 x + 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x^{2} + 4 x + 5 = 0

Löse

x + 1 = 0 : x = - 1

Löse

2 x^{2} + 4 x + 5 = 0 : x = - 1 + i \frac{3}{2}, x = - 1 - i \frac{3}{2}

Die Lösungen sind

x = - 1, x = - 1 + i \frac{3}{2}, x = - 1 - i \frac{3}{2}

Graph

Beliebte Beispiele

- x^{3} + x - 6 = 0

x^3-11x^2+28x=0

x^{3} - 11 x^{2} + 28 x = 0

x^{3} = \frac{1}{4}

x^{3} = \frac{1}{3}

-x^3+x^2+8x-12=0

- x^{3} + x^{2} + 8 x - 12 = 0