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Beliebt Algebra >

x^4-5x^2-4=0

Lösung

x^{4} - 5 x^{2} - 4 = 0

Lösung

x = \frac{5 + 41}{2}, x = - \frac{5 + 41}{2}, x = \frac{5 - 41}{2}, x = - \frac{5 - 41}{2}

Schritte zur Lösung

x^{4} - 5 x^{2} - 4 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 5 u - 4 = 0

Löse

u^{2} - 5 u - 4 = 0 : u = \frac{5 + 41}{2}, u = \frac{5 - 41}{2}

u = \frac{5 + 41}{2}, u = \frac{5 - 41}{2}

Setze

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

löse für

x

Löse

x^{2} = \frac{5 + 41}{2} : x = \frac{5 + 41}{2}, x = - \frac{5 + 41}{2}

Löse

x^{2} = \frac{5 - 41}{2} : x = \frac{5 - 41}{2}, x = - \frac{5 - 41}{2}

Die Lösungen sind

x = \frac{5 + 41}{2}, x = - \frac{5 + 41}{2}, x = \frac{5 - 41}{2}, x = - \frac{5 - 41}{2}

Graph

Beliebte Beispiele

x^{4} = 81

z^{5} + z = 0

5x^3+5102x+2015=0

5 x^{3} + 5102 x + 2015 = 0

5 x - 6 = 2 x^{3} - 3 x^{2}

(2+b)(11b-2b^2)+189=0

(2 + b) (11 b - 2 b^{2}) + 189 = 0