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Beliebt Algebra >

16x^4-121x^2=0

Lösung

16 x^{4} - 121 x^{2} = 0

Lösung

x = \frac{11}{4}, x = - \frac{11}{4}, x = 0

+1

Dezimale

x = 2.75, x = - 2.75, x = 0

Schritte zur Lösung

16 x^{4} - 121 x^{2} = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

16 u^{2} - 121 u = 0

Löse

16 u^{2} - 121 u = 0 : u = \frac{121}{16}, u = 0

u = \frac{121}{16}, u = 0

Setze

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

löse für

x

Löse

x^{2} = \frac{121}{16} : x = \frac{11}{4}, x = - \frac{11}{4}

Löse

x^{2} = 0 : x = 0

Die Lösungen sind

x = \frac{11}{4}, x = - \frac{11}{4}, x = 0

Graph

Beliebte Beispiele

-x^4+4x^3-18x^2+16x+8=0

- x^{4} + 4 x^{3} - 18 x^{2} + 16 x + 8 = 0

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473 = \frac{7 π x ^{3}}{48}

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