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Beliebt Algebra >

5x^3+x^2-45x-9=0

Lösung

5 x^{3} + x^{2} - 45 x - 9 = 0

Lösung

x = - \frac{1}{5}, x = - 3, x = 3

+1

Dezimale

x = - 0.2, x = - 3, x = 3

Schritte zur Lösung

5 x^{3} + x^{2} - 45 x - 9 = 0

Faktorisiere

5 x^{3} + x^{2} - 45 x - 9 : (5 x + 1) (x + 3) (x - 3)

(5 x + 1) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

5 x + 1 = 0 or x + 3 = 0 or x - 3 = 0

Löse

5 x + 1 = 0 : x = - \frac{1}{5}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - \frac{1}{5}, x = - 3, x = 3

Graph

Beliebte Beispiele

x^3-30x^2+80x-400=0

x^{3} - 30 x^{2} + 80 x - 400 = 0

z^{3} - 64 = 0

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

3 x^{4} = 24 x

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