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Beliebt Algebra >

6x^4-5x^2-4=0

Lösung

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

Lösung

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{2} i, x = - \frac{1}{2} i

Schritte zur Lösung

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

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

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

Löse

6 u^{2} - 5 u - 4 = 0 : u = \frac{4}{3}, u = - \frac{1}{2}

u = \frac{4}{3}, u = - \frac{1}{2}

Setze

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

löse für

x

Löse

x^{2} = \frac{4}{3} : x = \frac{2}{3}, x = - \frac{2}{3}

Löse

x^{2} = - \frac{1}{2} : x = \frac{1}{2} i, x = - \frac{1}{2} i

Die Lösungen sind

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{2} i, x = - \frac{1}{2} i

Graph

Beliebte Beispiele

3 x^{3} - 4 x + 12 = 0

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48 x^{2} = 3 x^{4}