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Beliebt Algebra >

-0.2x^3+2x^2-4x=0

Lösung

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

Lösung

x = 0, x = 5 + 5, x = 5 - 5

+1

Dezimale

x = 0, x = 7.23606 \dots, x = 2.76393 \dots

Schritte zur Lösung

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

Faktorisiere

- 0.2 x^{3} + 2 x^{2} - 4 x : - x (0.2 x^{2} - 2 x + 4)

- x (0.2 x^{2} - 2 x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 0.2 x^{2} - 2 x + 4 = 0

Löse

0.2 x^{2} - 2 x + 4 = 0 : x = 5 + 5, x = 5 - 5

Die Lösungen sind

x = 0, x = 5 + 5, x = 5 - 5

Graph

Beliebte Beispiele

x^3-3x^2+3x-65=0

x^{3} - 3 x^{2} + 3 x - 65 = 0

(x^{2} + 6)^{2} = 0

32 = 4 x^{3}

k + k^{3} = 68

(x - 7)^{3} = 13