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Beliebt Algebra >

6x^{(3)}+9x^{(2)}+4x+6=0

Lösung

6 x^{(3)} + 9 x^{(2)} + 4 x + 6 = 0

Lösung

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

Schritte zur Lösung

6 x^{(3)} + 9 x^{(2)} + 4 x + 6 = 0

Fasse zusammen

6 x^{3} + 9 x^{2} + 4 x + 6 = 0

Faktorisiere

6 x^{3} + 9 x^{2} + 4 x + 6 : (2 x + 3) (3 x^{2} + 2)

(2 x + 3) (3 x^{2} + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 3 = 0 or 3 x^{2} + 2 = 0

Löse

2 x + 3 = 0 : x = - \frac{3}{2}

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^3+5x^2+16x+80=0

x^{3} + 5 x^{2} + 16 x + 80 = 0

0 = x^{4} - 4 x^{2} - 45

(1-y)(3-y)(6-y)=-70

(1 - y) (3 - y) (6 - y) = - 70

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

solvefor x,x^3-3x+2=0

so l v e f or x, x^{3} - 3 x + 2 = 0