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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

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

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{3} - x^{2} = 2 x

2.08 = x^{3} + x

3 x^{3} - 2 x + 4 = 0

x^{3} - x^{2} = - x

2x^3+5x^2-8x-20=0

2 x^{3} + 5 x^{2} - 8 x - 20 = 0