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Beliebt Algebra >

3x^6-7x^2=0

Lösung

3 x^{6} - 7 x^{2} = 0

Lösung

x = 0, x = - \frac{7}{3}, x = - - \frac{7}{3}, x = \frac{7}{3}, x = - \frac{7}{3}

Schritte zur Lösung

3 x^{6} - 7 x^{2} = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{3} = x^{6}

3 u^{3} - 7 u = 0

Löse

3 u^{3} - 7 u = 0 : u = 0, u = - \frac{7}{3}, u = \frac{7}{3}

u = 0, u = - \frac{7}{3}, u = \frac{7}{3}

Setze

u = x^{2} w i e d er e in,

löse für

x

Löse

x^{2} = 0 : x = 0

Löse

x^{2} = - \frac{7}{3} : x = - \frac{7}{3}, x = - - \frac{7}{3}

Löse

x^{2} = \frac{7}{3} : x = \frac{7}{3}, x = - \frac{7}{3}

Die Lösungen sind

x = 0, x = - \frac{7}{3}, x = - - \frac{7}{3}, x = \frac{7}{3}, x = - \frac{7}{3}

Graph

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x^3+3x^2-14x-42=0

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