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Beliebt Algebra >

2x^3-5x^2-22x-15=0

Lösung

2 x^{3} - 5 x^{2} - 22 x - 15 = 0

Lösung

x = - 1, x = - \frac{3}{2}, x = 5

+1

Dezimale

x = - 1, x = - 1.5, x = 5

Schritte zur Lösung

2 x^{3} - 5 x^{2} - 22 x - 15 = 0

Faktorisiere

2 x^{3} - 5 x^{2} - 22 x - 15 : (x + 1) (2 x + 3) (x - 5)

(x + 1) (2 x + 3) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x + 3 = 0 or x - 5 = 0

Löse

x + 1 = 0 : x = - 1

Löse

2 x + 3 = 0 : x = - \frac{3}{2}

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = - 1, x = - \frac{3}{2}, x = 5

Graph

Beliebte Beispiele

2 x^{2} \cdot 4 x^{4} = 512

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2 x^{3} + 3 = 0

x^4-3x^3-6x^2-28x-24=0

x^{4} - 3 x^{3} - 6 x^{2} - 28 x - 24 = 0