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Beliebt Algebra >

2x(7x+1)(9x^2-25)=0

Lösung

2 x (7 x + 1) (9 x^{2} - 25) = 0

Lösung

x = 0, x = - \frac{1}{7}, x = - \frac{5}{3}, x = \frac{5}{3}

+1

Dezimale

x = 0, x = - 0.14285 \dots, x = - 1.66666 \dots, x = 1.66666 \dots

Schritte zur Lösung

2 x (7 x + 1) (9 x^{2} - 25) = 0

Faktorisiere

2 x (7 x + 1) (9 x^{2} - 25) : 2 x (7 x + 1) (3 x + 5) (3 x - 5)

2 x (7 x + 1) (3 x + 5) (3 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 7 x + 1 = 0 or 3 x + 5 = 0 or 3 x - 5 = 0

Löse

7 x + 1 = 0 : x = - \frac{1}{7}

Löse

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

Löse

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

Die Lösungen sind

x = 0, x = - \frac{1}{7}, x = - \frac{5}{3}, x = \frac{5}{3}

Graph

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