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Beliebt Algebra >

3x^3+20x^2-7x=0

Lösung

3 x^{3} + 20 x^{2} - 7 x = 0

Lösung

x = 0, x = \frac{1}{3}, x = - 7

+1

Dezimale

x = 0, x = 0.33333 \dots, x = - 7

Schritte zur Lösung

3 x^{3} + 20 x^{2} - 7 x = 0

Faktorisiere

3 x^{3} + 20 x^{2} - 7 x : x (3 x - 1) (x + 7)

x (3 x - 1) (x + 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 3 x - 1 = 0 or x + 7 = 0

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Löse

x + 7 = 0 : x = - 7

Die Lösungen sind

x = 0, x = \frac{1}{3}, x = - 7

Graph

Beliebte Beispiele

(x^3+3x^2)-(9x+27)=0

(x^{3} + 3 x^{2}) - (9 x + 27) = 0

x^{3} - 37 x + 6 = 0

solvefor x,x^4x^2-9y^2=36

so l v e f or x, x^{4} x^{2} - 9 y^{2} = 36

x^{4} - 7 x^{2} - 30 = 0

x^{2} \cdot 4 x - 8 = 0