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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 0.5, x = - 0.58578 \dots, x = - 3.41421 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 1 = 0 or x^{2} + 4 x + 2 = 0

Löse

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

Löse

x^{2} + 4 x + 2 = 0 : x = - 2 + 2, x = - 2 - 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

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

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

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8 x^{3} - 6 x = 0

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

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