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Beliebt Algebra >

-3(9x^2-4)(x^2-15)=0

Lösung

- 3 (9 x^{2} - 4) (x^{2} - 15) = 0

Lösung

x = - \frac{2}{3}, x = \frac{2}{3}, x = - 15, x = 15

+1

Dezimale

x = - 0.66666 \dots, x = 0.66666 \dots, x = - 3.87298 \dots, x = 3.87298 \dots

Schritte zur Lösung

- 3 (9 x^{2} - 4) (x^{2} - 15) = 0

Faktorisiere

- 3 (9 x^{2} - 4) (x^{2} - 15) : - 3 (3 x + 2) (3 x - 2) (x + 15) (x - 15)

- 3 (3 x + 2) (3 x - 2) (x + 15) (x - 15) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 2 = 0 or 3 x - 2 = 0 or x + 15 = 0 or x - 15 = 0

Löse

3 x + 2 = 0 : x = - \frac{2}{3}

Löse

3 x - 2 = 0 : x = \frac{2}{3}

Löse

x + 15 = 0 : x = - 15

Löse

x - 15 = 0 : x = 15

Die Lösungen sind

x = - \frac{2}{3}, x = \frac{2}{3}, x = - 15, x = 15

Graph

Beliebte Beispiele

(2 x - 3)^{5} = 243

t^{3} = 64

0=12t^3-6t^2-10

0 = 12 t^{3} - 6 t^{2} - 10

x^{2} 5 x = 0

(x^{2} - 5)^{2} = 16