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Beliebt Algebra >

25x^4-689x^2+1600=0

Lösung

25 x^{4} - 689 x^{2} + 1600 = 0

Lösung

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

+1

Dezimale

x = 5, x = - 5, x = 1.6, x = - 1.6

Schritte zur Lösung

25 x^{4} - 689 x^{2} + 1600 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

25 u^{2} - 689 u + 1600 = 0

Löse

25 u^{2} - 689 u + 1600 = 0 : u = 25, u = \frac{64}{25}

u = 25, u = \frac{64}{25}

Setze

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

löse für

x

Löse

x^{2} = 25 : x = 5, x = - 5

Löse

x^{2} = \frac{64}{25} : x = \frac{8}{5}, x = - \frac{8}{5}

Die Lösungen sind

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

Graph

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