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Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = \frac{1}{2}, x = - 4

+1

Dezimale

x = 0, x = 0.5, x = - 4

Schritte zur Lösung

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

Faktorisiere

2 x^{3} + 7 x^{2} - 4 x : x (2 x - 1) (x + 4)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x - 1 = 0 or x + 4 = 0

Löse

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

Löse

x + 4 = 0 : x = - 4

Die Lösungen sind

x = 0, x = \frac{1}{2}, x = - 4

Graph

Beliebte Beispiele

x^3+5x^2+8x+3=0

x^{3} + 5 x^{2} + 8 x + 3 = 0

solvefor x,9x^4+6y^3=8

so l v e f or x, 9 x^{4} + 6 y^{3} = 8

x^2(x-1)(2x+7)=0

x^{2} (x - 1) (2 x + 7) = 0

16x^4-45^3+9x^2-81x+81=0

16 x^{4} - 4 5^{3} + 9 x^{2} - 81 x + 81 = 0

0=(x-3)(x-4)(x-6)

0 = (x - 3) (x - 4) (x - 6)