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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = - 2, x = 0.5

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 2 = 0 : x = - 2

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x(x-1)^2=-(x-1)(3x+2)

x (x - 1)^{2} = - (x - 1) (3 x + 2)

x^4-2x^3+6x^2-2x+5=0

x^{4} - 2 x^{3} + 6 x^{2} - 2 x + 5 = 0

x^{3} - 10 x = 0

x^3-6x^2+9x-2=0

x^{3} - 6 x^{2} + 9 x - 2 = 0

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

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