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Beliebt Algebra >

40x+2x^2-2x^3=0

Lösung

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

Lösung

x = 0, x = - 4, x = 5

Schritte zur Lösung

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

Faktorisiere

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

- 2 x (x + 4) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 4 = 0 or x - 5 = 0

Löse

x + 4 = 0 : x = - 4

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 0, x = - 4, x = 5

Graph

Beliebte Beispiele

-x(x^2-1)(x^2+4)=0

- x (x^{2} - 1) (x^{2} + 4) = 0

x^{5} - 3 x + 1 = 0

-2(9x^2-49)(x^2-5)=0

- 2 (9 x^{2} - 49) (x^{2} - 5) = 0

x^4-7x^3+12x^2+4x-16=0

x^{4} - 7 x^{3} + 12 x^{2} + 4 x - 16 = 0

-9x^4-46x^2+5=0

- 9 x^{4} - 46 x^{2} + 5 = 0