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Beliebt Algebra >

2x^3+7x^2+3x=0

Lösung

2 x^{3} + 7 x^{2} + 3 x = 0

Lösung

x = 0, x = - \frac{1}{2}, x = - 3

+1

Dezimale

x = 0, x = - 0.5, x = - 3

Schritte zur Lösung

2 x^{3} + 7 x^{2} + 3 x = 0

Faktorisiere

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

x (2 x + 1) (x + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x + 1 = 0 or x + 3 = 0

Löse

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

Löse

x + 3 = 0 : x = - 3

Die Lösungen sind

x = 0, x = - \frac{1}{2}, x = - 3

Graph

Beliebte Beispiele

(2n)3n(6)=3n^3(7)

(2 n) 3 n (6) = 3 n^{3} (7)

x^{3} - x - 10 = 0

x^3-2x^2-5x-10=0

x^{3} - 2 x^{2} - 5 x - 10 = 0

solvefor x,x^5+5r^2-1=0

so l v e f or x, x^{5} + 5 r^{2} - 1 = 0

(3x^3-2x^2-7x)=2

(3 x^{3} - 2 x^{2} - 7 x) = 2