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Beliebt Algebra >

25x^4-4x^2=0

Lösung

25 x^{4} - 4 x^{2} = 0

Lösung

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

+1

Dezimale

x = 0.4, x = - 0.4, x = 0

Schritte zur Lösung

25 x^{4} - 4 x^{2} = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

25 u^{2} - 4 u = 0

Löse

25 u^{2} - 4 u = 0 : u = \frac{4}{25}, u = 0

u = \frac{4}{25}, u = 0

Setze

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

löse für

x

Löse

x^{2} = \frac{4}{25} : x = \frac{2}{5}, x = - \frac{2}{5}

Löse

x^{2} = 0 : x = 0

Die Lösungen sind

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

Graph

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