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Beliebt Algebra >

(15x-7)^3-(15x-7)=0

Lösung

(15 x - 7)^{3} - (15 x - 7) = 0

Lösung

x = \frac{2}{5}, x = \frac{7}{15}, x = \frac{8}{15}

+1

Dezimale

x = 0.4, x = 0.46666 \dots, x = 0.53333 \dots

Schritte zur Lösung

(15 x - 7)^{3} - (15 x - 7) = 0

Faktorisiere

(15 x - 7)^{3} - (15 x - 7) : 3 (5 x - 2) (15 x - 7) (15 x - 8)

3 (5 x - 2) (15 x - 7) (15 x - 8) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

5 x - 2 = 0 or 15 x - 7 = 0 or 15 x - 8 = 0

Löse

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

Löse

15 x - 7 = 0 : x = \frac{7}{15}

Löse

15 x - 8 = 0 : x = \frac{8}{15}

Die Lösungen sind

x = \frac{2}{5}, x = \frac{7}{15}, x = \frac{8}{15}

Graph

Beliebte Beispiele

15 x^{4} - 15 x^{2} = 0

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

x^{3} - 7 x^{2} - x + 7 = 0

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

2x^3-x^2-2x+1=0

2 x^{3} - x^{2} - 2 x + 1 = 0