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Beliebt Algebra >

25x^4-241x^2+144=0

Lösung

25 x^{4} - 241 x^{2} + 144 = 0

Lösung

x = 3, x = - 3, x = \frac{4}{5}, x = - \frac{4}{5}

+1

Dezimale

x = 3, x = - 3, x = 0.8, x = - 0.8

Schritte zur Lösung

25 x^{4} - 241 x^{2} + 144 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

25 u^{2} - 241 u + 144 = 0

Löse

25 u^{2} - 241 u + 144 = 0 : u = 9, u = \frac{16}{25}

u = 9, u = \frac{16}{25}

Setze

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

löse für

x

Löse

x^{2} = 9 : x = 3, x = - 3

Löse

x^{2} = \frac{16}{25} : x = \frac{4}{5}, x = - \frac{4}{5}

Die Lösungen sind

x = 3, x = - 3, x = \frac{4}{5}, x = - \frac{4}{5}

Graph

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x^3-5x^2+80-16x=0

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