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Beliebt Algebra >

9x^3-27x^2-25x+75=0

Lösung

9 x^{3} - 27 x^{2} - 25 x + 75 = 0

Lösung

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

+1

Dezimale

x = 3, x = - 1.66666 \dots, x = 1.66666 \dots

Schritte zur Lösung

9 x^{3} - 27 x^{2} - 25 x + 75 = 0

Faktorisiere

9 x^{3} - 27 x^{2} - 25 x + 75 : (x - 3) (3 x + 5) (3 x - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{3} - x = 6

x + 1. 5^{2} + 9 x^{4} = 0

x^{5} = 125

6000=4800(1+R/(100))^4

6000 = 4800 (1 + \frac{R}{100})^{4}

x^{5} = 16 x