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Beliebt Algebra >

2x^3+5x^2-6x-15=0

Lösung

2 x^{3} + 5 x^{2} - 6 x - 15 = 0

Lösung

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

+1

Dezimale

x = - 2.5, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

2 x^{3} + 5 x^{2} - 6 x - 15 = 0

Faktorisiere

2 x^{3} + 5 x^{2} - 6 x - 15 : (2 x + 5) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x + 5 = 0 : x = - \frac{5}{2}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

42 x^{4} - x^{2} - 1 = 0

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(7-11x)(x^2+7x+12)=0

(7 - 11 x) (x^{2} + 7 x + 12) = 0

x^{4} - 12 x^{2} + 11 = 0