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Beliebt Algebra >

4x^4+2x^2-24=0

Lösung

4 x^{4} + 2 x^{2} - 24 = 0

Lösung

x = \frac{- 1 + 97}{2}, x = - \frac{- 1 + 97}{2}, x = - \frac{1 + 97}{4}, x = - - \frac{1 + 97}{4}

Schritte zur Lösung

4 x^{4} + 2 x^{2} - 24 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

4 u^{2} + 2 u - 24 = 0

Löse

4 u^{2} + 2 u - 24 = 0 : u = \frac{- 1 + 97}{4}, u = - \frac{1 + 97}{4}

u = \frac{- 1 + 97}{4}, u = - \frac{1 + 97}{4}

Setze

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

löse für

x

Löse

x^{2} = \frac{- 1 + 97}{4} : x = \frac{- 1 + 97}{2}, x = - \frac{- 1 + 97}{2}

Löse

x^{2} = - \frac{1 + 97}{4} : x = - \frac{1 + 97}{4}, x = - - \frac{1 + 97}{4}

Die Lösungen sind

x = \frac{- 1 + 97}{2}, x = - \frac{- 1 + 97}{2}, x = - \frac{1 + 97}{4}, x = - - \frac{1 + 97}{4}

Graph

Beliebte Beispiele

x^4-2x^3-2x^2+2x+1=0

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