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Beliebt Algebra >

3x^5+x^4-9x^3-9x^2-2x=0

Lösung

3 x^{5} + x^{4} - 9 x^{3} - 9 x^{2} - 2 x = 0

Lösung

x = 0, x = - 1, x = - \frac{1}{3}, x = 2

+1

Dezimale

x = 0, x = - 1, x = - 0.33333 \dots, x = 2

Schritte zur Lösung

3 x^{5} + x^{4} - 9 x^{3} - 9 x^{2} - 2 x = 0

Faktorisiere

3 x^{5} + x^{4} - 9 x^{3} - 9 x^{2} - 2 x : x (x + 1)^{2} (3 x + 1) (x - 2)

x (x + 1)^{2} (3 x + 1) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 1 = 0 or 3 x + 1 = 0 or x - 2 = 0

Löse

x + 1 = 0 : x = - 1

Löse

3 x + 1 = 0 : x = - \frac{1}{3}

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = - 1, x = - \frac{1}{3}, x = 2

Graph

Beliebte Beispiele

faktorisieren x^3+125=0

f a c t or x^{3} + 125 = 0

rationalrootstest 3x^3-2x^2+x-4=0

r a t i o na l roo t s t es t 3 x^{3} - 2 x^{2} + x - 4 = 0

a^{3} + 5 a + 6 = 0

x^{5} - 243 = 0

x^3-13x^2+23x-11=0

x^{3} - 13 x^{2} + 23 x - 11 = 0