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Beliebt Algebra >

3(36x^2-49)(x^2+64)=0

Lösung

3 (36 x^{2} - 49) (x^{2} + 64) = 0

Lösung

x = - \frac{7}{6}, x = \frac{7}{6}, x = 8 i, x = - 8 i

Schritte zur Lösung

3 (36 x^{2} - 49) (x^{2} + 64) = 0

Faktorisiere

3 (36 x^{2} - 49) (x^{2} + 64) : 3 (6 x + 7) (6 x - 7) (x^{2} + 64)

3 (6 x + 7) (6 x - 7) (x^{2} + 64) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

6 x + 7 = 0 or 6 x - 7 = 0 or x^{2} + 64 = 0

Löse

6 x + 7 = 0 : x = - \frac{7}{6}

Löse

6 x - 7 = 0 : x = \frac{7}{6}

Löse

x^{2} + 64 = 0 : x = 8 i, x = - 8 i

Die Lösungen sind

x = - \frac{7}{6}, x = \frac{7}{6}, x = 8 i, x = - 8 i

Graph

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