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Beliebt Algebra >

-x^4-x^2+8=0

Lösung

- x^{4} - x^{2} + 8 = 0

Lösung

x = - \frac{1 + 33}{2}, x = - - \frac{1 + 33}{2}, x = \frac{33 - 1}{2}, x = - \frac{33 - 1}{2}

Schritte zur Lösung

- x^{4} - x^{2} + 8 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

- u^{2} - u + 8 = 0

Löse

- u^{2} - u + 8 = 0 : u = - \frac{1 + 33}{2}, u = \frac{33 - 1}{2}

u = - \frac{1 + 33}{2}, u = \frac{33 - 1}{2}

Setze

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

löse für

x

Löse

x^{2} = - \frac{1 + 33}{2} : x = - \frac{1 + 33}{2}, x = - - \frac{1 + 33}{2}

Löse

x^{2} = \frac{33 - 1}{2} : x = \frac{33 - 1}{2}, x = - \frac{33 - 1}{2}

Die Lösungen sind

x = - \frac{1 + 33}{2}, x = - - \frac{1 + 33}{2}, x = \frac{33 - 1}{2}, x = - \frac{33 - 1}{2}

Graph

Beliebte Beispiele

x^{5} + x^{4} - 2 x^{3} = 0

8 1/4 =-2x^3+3x

8 \frac{1}{4} = - 2 x^{3} + 3 x

z^{5} = - 3 i

2 x^{3} - 20 x = 0

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

1 - x^{2} = x^{4} - 2 x^{2} + 1