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Beliebt Algebra >

x^5-6x^3+5x=0

Lösung

x^{5} - 6 x^{3} + 5 x = 0

Lösung

x = 0, x = - 1, x = 1, x = - 5, x = 5

+1

Dezimale

x = 0, x = - 1, x = 1, x = - 2.23606 \dots, x = 2.23606 \dots

Schritte zur Lösung

x^{5} - 6 x^{3} + 5 x = 0

Faktorisiere

x^{5} - 6 x^{3} + 5 x : x (x + 1) (x - 1) (x + 5) (x - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 0, x = - 1, x = 1, x = - 5, x = 5

Graph

Beliebte Beispiele

5000=1000(1+x)^{12}

5000 = 1000 (1 + x)^{12}

x^{4} + 22 x - 24 = 0

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

x^{81} x^{2} - 4 = 0

325 = 5 x^{3}