0=2x^3+3x^2-18x-27

Lösung

0 = 2 x^{3} + 3 x^{2} - 18 x - 27

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

Dezimale

x = - 1.5, x = - 3, x = 3

Schritte zur Lösung

0 = 2 x^{3} + 3 x^{2} - 18 x - 27

Tausche die Seiten

2 x^{3} + 3 x^{2} - 18 x - 27 = 0

Faktorisiere

2 x^{3} + 3 x^{2} - 18 x - 27 : (2 x + 3) (x + 3) (x - 3)

(2 x + 3) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 3 = 0 or x + 3 = 0 or x - 3 = 0

Löse

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

x^{4} - 8 x^{3} + 17 x^{2} + 2 x - 24 = 0

x^{3} + 19 x^{2} + 103 x - 135 = 0

x^{3} - 6 x^{2} + 12 x - 11 = 0

roo t s x^{5} + x^{4} + x^{3} + x^{2} + x + 1

x^{3} - 2 x^{2} - 9 = 0