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Beliebt Algebra >

x^3-1x^7=0

Lösung

x^{3} - 1 x^{7} = 0

Lösung

x = 0, x = i, x = - i, x = - 1, x = 1

Schritte zur Lösung

x^{3} - 1 \cdot x^{7} = 0

Faktorisiere

x^{3} - 1 \cdot x^{7} : - x^{3} (x^{2} + 1) (x + 1) (x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 1 = 0 or x + 1 = 0 or x - 1 = 0

Löse

x^{2} + 1 = 0 : x = i, x = - i

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

x = 0, x = i, x = - i, x = - 1, x = 1

Graph

Beliebte Beispiele

-x^3-5x^2+25x-2=0

- x^{3} - 5 x^{2} + 25 x - 2 = 0

s^3+3s^2+1/4 s+4=0

s^{3} + 3 s^{2} + \frac{1}{4} s + 4 = 0

80 x^{3} - 60 x^{2} = 0

x^5-2x^3+x^2+2=-1

x^{5} - 2 x^{3} + x^{2} + 2 = - 1

x^5+8x^4-20x^3=0

x^{5} + 8 x^{4} - 20 x^{3} = 0