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Beliebt Algebra >

30x-60x^3=0

Lösung

30 x - 60 x^{3} = 0

Lösung

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

+1

Dezimale

x = 0, x = - 0.70710 \dots, x = 0.70710 \dots

Schritte zur Lösung

30 x - 60 x^{3} = 0

Faktorisiere

30 x - 60 x^{3} : - 30 x (2 x + 1) (2 x - 1)

- 30 x (2 x + 1) (2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^4+17x^3+60x^2-59x+77=0

x^{4} + 17 x^{3} + 60 x^{2} - 59 x + 77 = 0

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

x^{4} + 3 x^{3} + 3 x^{2} + x = 0

y^{4} - 1 = 0

-x^3+x^2+17x+15=0

- x^{3} + x^{2} + 17 x + 15 = 0

x^{3} = x^{2} - 7 x + 7