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Beliebt Algebra >

-9x^4-46x^2+5=0

Lösung

- 9 x^{4} - 46 x^{2} + 5 = 0

Lösung

x = - \frac{23 + 574}{9}, x = - - \frac{23 + 574}{9}, x = \frac{574 - 23}{3}, x = - \frac{574 - 23}{3}

Schritte zur Lösung

- 9 x^{4} - 46 x^{2} + 5 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

- 9 u^{2} - 46 u + 5 = 0

Löse

- 9 u^{2} - 46 u + 5 = 0 : u = - \frac{23 + 574}{9}, u = \frac{574 - 23}{9}

u = - \frac{23 + 574}{9}, u = \frac{574 - 23}{9}

Setze

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

löse für

x

Löse

x^{2} = - \frac{23 + 574}{9} : x = - \frac{23 + 574}{9}, x = - - \frac{23 + 574}{9}

Löse

x^{2} = \frac{574 - 23}{9} : x = \frac{574 - 23}{3}, x = - \frac{574 - 23}{3}

Die Lösungen sind

x = - \frac{23 + 574}{9}, x = - - \frac{23 + 574}{9}, x = \frac{574 - 23}{3}, x = - \frac{574 - 23}{3}

Graph

Beliebte Beispiele

2 x^{3} + 1 = x^{2} + 2 x

z^{4} + 64 = 0

2 x^{3} + 2 x^{2} - 1 = 0

x(x^2-9)=4(9-x^2)

x (x^{2} - 9) = 4 (9 - x^{2})

x^4-x^3+3x^2-9x-54=0

x^{4} - x^{3} + 3 x^{2} - 9 x - 54 = 0