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Beliebt Algebra >

x^5-10x^3+36x=0

Lösung

x^{5} - 10 x^{3} + 36 x = 0

Lösung

x = 0, x = \frac{11}{2} + \frac{1}{2} i, x = - \frac{11}{2} - \frac{1}{2} i, x = \frac{11}{2} - \frac{1}{2} i, x = - \frac{11}{2} + \frac{1}{2} i

Schritte zur Lösung

x^{5} - 10 x^{3} + 36 x = 0

Faktorisiere

x^{5} - 10 x^{3} + 36 x : x (x^{4} - 10 x^{2} + 36)

x (x^{4} - 10 x^{2} + 36) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{4} - 10 x^{2} + 36 = 0

Löse

x^{4} - 10 x^{2} + 36 = 0 : x = \frac{11}{2} + \frac{1}{2} i, x = - \frac{11}{2} - \frac{1}{2} i, x = \frac{11}{2} - \frac{1}{2} i, x = - \frac{11}{2} + \frac{1}{2} i

Die Lösungen sind

x = 0, x = \frac{11}{2} + \frac{1}{2} i, x = - \frac{11}{2} - \frac{1}{2} i, x = \frac{11}{2} - \frac{1}{2} i, x = - \frac{11}{2} + \frac{1}{2} i

Graph

Beliebte Beispiele

12x^3+12x^2+6=0

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

4x^3-12x^2-11x-2=0

4 x^{3} - 12 x^{2} - 11 x - 2 = 0

x^{5} = 64 x^{2}

- 16 x - 4 x^{3} = 164

20 x^{3} + 60 x^{2} = 0