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Beliebt Algebra >

-3x(36x^2-25)(x^2-2)=0

Lösung

- 3 x (36 x^{2} - 25) (x^{2} - 2) = 0

Lösung

x = 0, x = - \frac{5}{6}, x = \frac{5}{6}, x = - 2, x = 2

+1

Dezimale

x = 0, x = - 0.83333 \dots, x = 0.83333 \dots, x = - 1.41421 \dots, x = 1.41421 \dots

Schritte zur Lösung

- 3 x (36 x^{2} - 25) (x^{2} - 2) = 0

Faktorisiere

- 3 x (36 x^{2} - 25) (x^{2} - 2) : - 3 x (6 x + 5) (6 x - 5) (x + 2) (x - 2)

- 3 x (6 x + 5) (6 x - 5) (x + 2) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 6 x + 5 = 0 or 6 x - 5 = 0 or x + 2 = 0 or x - 2 = 0

Löse

6 x + 5 = 0 : x = - \frac{5}{6}

Löse

6 x - 5 = 0 : x = \frac{5}{6}

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = 0, x = - \frac{5}{6}, x = \frac{5}{6}, x = - 2, x = 2

Graph

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