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Beliebt Algebra >

6n^4+9n^3+3n^2=0

Lösung

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

Lösung

n = 0, n = - \frac{1}{2}, n = - 1

+1

Dezimale

n = 0, n = - 0.5, n = - 1

Schritte zur Lösung

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

Faktorisiere

6 n^{4} + 9 n^{3} + 3 n^{2} : 3 n^{2} (2 n + 1) (n + 1)

3 n^{2} (2 n + 1) (n + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

n = 0 or 2 n + 1 = 0 or n + 1 = 0

Löse

2 n + 1 = 0 : n = - \frac{1}{2}

Löse

n + 1 = 0 : n = - 1

Die Lösungen sind

n = 0, n = - \frac{1}{2}, n = - 1

Graph

Beliebte Beispiele

x^{5} = 16

x^3+6x^2+9x+9=0

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

x^{4} - 48 x^{2} - 49 = 0

s^4+7s^3+10s^2=0

s^{4} + 7 s^{3} + 10 s^{2} = 0

a^{4} - 2 a^{2} + 1 = 0