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Beliebt Algebra >

3(x^2-81)(64x^2-25)=0

Lösung

3 (x^{2} - 81) (64 x^{2} - 25) = 0

Lösung

x = - 9, x = 9, x = - \frac{5}{8}, x = \frac{5}{8}

+1

Dezimale

x = - 9, x = 9, x = - 0.625, x = 0.625

Schritte zur Lösung

3 (x^{2} - 81) (64 x^{2} - 25) = 0

Faktorisiere

3 (x^{2} - 81) (64 x^{2} - 25) : 3 (x + 9) (x - 9) (8 x + 5) (8 x - 5)

3 (x + 9) (x - 9) (8 x + 5) (8 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 9 = 0 or x - 9 = 0 or 8 x + 5 = 0 or 8 x - 5 = 0

Löse

x + 9 = 0 : x = - 9

Löse

x - 9 = 0 : x = 9

Löse

8 x + 5 = 0 : x = - \frac{5}{8}

Löse

8 x - 5 = 0 : x = \frac{5}{8}

Die Lösungen sind

x = - 9, x = 9, x = - \frac{5}{8}, x = \frac{5}{8}

Graph

Beliebte Beispiele

-x(x+9)(x^2-9)=0

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(81x^2-100)(x^2-14)=0

(81 x^{2} - 100) (x^{2} - 14) = 0

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