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Beliebt Algebra >

5x^3+7x^2-81x+45=0

Lösung

5 x^{3} + 7 x^{2} - 81 x + 45 = 0

Lösung

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

+1

Dezimale

x = 3, x = 0.6, x = - 5

Schritte zur Lösung

5 x^{3} + 7 x^{2} - 81 x + 45 = 0

Faktorisiere

5 x^{3} + 7 x^{2} - 81 x + 45 : (x - 3) (5 x - 3) (x + 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

5 x - 3 = 0 : x = \frac{3}{5}

Löse

x + 5 = 0 : x = - 5

Die Lösungen sind

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

Graph

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