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Beliebt Algebra >

x^8=32

Lösung

x^{8} = 32

Lösung

x = 8 2^{5}, x = - 8 2^{5}, x = 8 2^{5} i, x = - 8 2^{5} i, x = 42 + 82 i, x = - 42 - 82 i, x = 42 - 82 i, x = - 42 + 82 i

Schritte zur Lösung

x^{8} = 32

Schreibe die Gleichung um mit

u = x^{2}

und

u^{4} = x^{8}

u^{4} = 32

Löse

u^{4} = 32 : u = 242, u = - 242, u = 22 i, u = - 22 i

u = 242, u = - 242, u = 22 i, u = - 22 i

Setze

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

löse für

x

Löse

x^{2} = 242 : x = 8 2^{5}, x = - 8 2^{5}

Löse

x^{2} = - 242 : x = 8 2^{5} i, x = - 8 2^{5} i

Löse

x^{2} = 22 i : x = 42 + 82 i, x = - 42 - 82 i

Löse

x^{2} = - 22 i : x = 42 - 82 i, x = - 42 + 82 i

Die Lösungen sind

x = 8 2^{5}, x = - 8 2^{5}, x = 8 2^{5} i, x = - 8 2^{5} i, x = 42 + 82 i, x = - 42 - 82 i, x = 42 - 82 i, x = - 42 + 82 i

Graph

Beliebte Beispiele

-x^3+8x^2-4x-48=0

- x^{3} + 8 x^{2} - 4 x - 48 = 0

12 = + x x^{3}

m^{3} = 5

x^3-4x^2-53x+168=0

x^{3} - 4 x^{2} - 53 x + 168 = 0

x^{3} - 3 x = 1