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Beliebt Algebra >

x^8=48

Lösung

x^{8} = 48

Lösung

x = 283, x = - 283, x = 283 i, x = - 283 i, x = 43 + 83 i, x = - 43 - 83 i, x = 43 - 83 i, x = - 43 + 83 i

Schritte zur Lösung

x^{8} = 48

Schreibe die Gleichung um mit

u = x^{2}

und

u^{4} = x^{8}

u^{4} = 48

Löse

u^{4} = 48 : u = 243, u = - 243, u = 23 i, u = - 23 i

u = 243, u = - 243, u = 23 i, u = - 23 i

Setze

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

löse für

x

Löse

x^{2} = 243 : x = 283, x = - 283

Löse

x^{2} = - 243 : x = 283 i, x = - 283 i

Löse

x^{2} = 23 i : x = 43 + 83 i, x = - 43 - 83 i

Löse

x^{2} = - 23 i : x = 43 - 83 i, x = - 43 + 83 i

Die Lösungen sind

x = 283, x = - 283, x = 283 i, x = - 283 i, x = 43 + 83 i, x = - 43 - 83 i, x = 43 - 83 i, x = - 43 + 83 i

Graph

Beliebte Beispiele

u^{3} - 1 = 1

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186 = - 3 y^{3} - 6

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-x^3+27x^2-127x-699=0

- x^{3} + 27 x^{2} - 127 x - 699 = 0