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Beliebt Algebra >

-x(x^2-49)(16x^2-25)=0

Lösung

- x (x^{2} - 49) (16 x^{2} - 25) = 0

Lösung

x = 0, x = - 7, x = 7, x = - \frac{5}{4}, x = \frac{5}{4}

+1

Dezimale

x = 0, x = - 7, x = 7, x = - 1.25, x = 1.25

Schritte zur Lösung

- x (x^{2} - 49) (16 x^{2} - 25) = 0

Faktorisiere

- x (x^{2} - 49) (16 x^{2} - 25) : - x (x + 7) (x - 7) (4 x + 5) (4 x - 5)

- x (x + 7) (x - 7) (4 x + 5) (4 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 7 = 0 or x - 7 = 0 or 4 x + 5 = 0 or 4 x - 5 = 0

Löse

x + 7 = 0 : x = - 7

Löse

x - 7 = 0 : x = 7

Löse

4 x + 5 = 0 : x = - \frac{5}{4}

Löse

4 x - 5 = 0 : x = \frac{5}{4}

Die Lösungen sind

x = 0, x = - 7, x = 7, x = - \frac{5}{4}, x = \frac{5}{4}

Graph

Beliebte Beispiele

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x^3+3x^2-16x-48=0

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2 x^{3} - 7 x^{2} + 9 = 0