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Beliebt Algebra >

4x^3+12x^2-25x-75=0

Lösung

4 x^{3} + 12 x^{2} - 25 x - 75 = 0

Lösung

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

+1

Dezimale

x = - 3, x = - 2.5, x = 2.5

Schritte zur Lösung

4 x^{3} + 12 x^{2} - 25 x - 75 = 0

Faktorisiere

4 x^{3} + 12 x^{2} - 25 x - 75 : (x + 3) (2 x + 5) (2 x - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 3 = 0 : x = - 3

Löse

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

Löse

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

Die Lösungen sind

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

Graph

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