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Beliebt Algebra >

-83=b^4b^4

Lösung

- 83 = b^{4} b^{4}

Lösung

b = \frac{8 83}{2 2 - 2} + \frac{4 83 ( 2 - 2 )}{2} i, b = - \frac{8 83}{2 2 - 2} - \frac{4 83 ( 2 - 2 )}{2} i, b = - \frac{8 83}{2 2 + 2} + \frac{4 83 ( 2 + 2 )}{2} i, b = \frac{8 83}{2 2 + 2} - \frac{4 83 ( 2 + 2 )}{2} i, b = \frac{8 83}{2 2 + 2} + \frac{4 83 ( 2 + 2 )}{2} i, b = - \frac{8 83}{2 2 + 2} - \frac{4 83 ( 2 + 2 )}{2} i, b = - \frac{8 83}{2 2 - 2} + \frac{4 83 ( 2 - 2 )}{2} i, b = \frac{8 83}{2 2 - 2} - \frac{4 83 ( 2 - 2 )}{2} i

Schritte zur Lösung

- 83 = b^{4} b^{4}

Tausche die Seiten

b^{4} b^{4} = - 83

Vereinfache

b^{8} = - 83

Schreibe die Gleichung um mit

u = b^{2}

und

u^{4} = b^{8}

u^{4} = - 83

Löse

u^{4} = - 83 : u = \frac{4 83}{2} + \frac{4 83}{2} i, u = - \frac{4 83}{2} - \frac{4 83}{2} i, u = - \frac{4 83}{2} + \frac{4 83}{2} i, u = \frac{4 83}{2} - \frac{4 83}{2} i

u = \frac{4 83}{2} + \frac{4 83}{2} i, u = - \frac{4 83}{2} - \frac{4 83}{2} i, u = - \frac{4 83}{2} + \frac{4 83}{2} i, u = \frac{4 83}{2} - \frac{4 83}{2} i

Setze

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

löse für

b

Löse

b^{2} = \frac{4 83}{2} + \frac{4 83}{2} i : b = \frac{8 83}{2 2 - 2} + \frac{4 83 ( 2 - 2 )}{2} i, b = - \frac{8 83}{2 2 - 2} - \frac{4 83 ( 2 - 2 )}{2} i

Löse

b^{2} = - \frac{4 83}{2} - \frac{4 83}{2} i : b = - \frac{8 83}{2 2 + 2} + \frac{4 83 ( 2 + 2 )}{2} i, b = \frac{8 83}{2 2 + 2} - \frac{4 83 ( 2 + 2 )}{2} i

Löse

b^{2} = - \frac{4 83}{2} + \frac{4 83}{2} i : b = \frac{8 83}{2 2 + 2} + \frac{4 83 ( 2 + 2 )}{2} i, b = - \frac{8 83}{2 2 + 2} - \frac{4 83 ( 2 + 2 )}{2} i

Löse

b^{2} = \frac{4 83}{2} - \frac{4 83}{2} i : b = - \frac{8 83}{2 2 - 2} + \frac{4 83 ( 2 - 2 )}{2} i, b = \frac{8 83}{2 2 - 2} - \frac{4 83 ( 2 - 2 )}{2} i

Die Lösungen sind

b = \frac{8 83}{2 2 - 2} + \frac{4 83 ( 2 - 2 )}{2} i, b = - \frac{8 83}{2 2 - 2} - \frac{4 83 ( 2 - 2 )}{2} i, b = - \frac{8 83}{2 2 + 2} + \frac{4 83 ( 2 + 2 )}{2} i, b = \frac{8 83}{2 2 + 2} - \frac{4 83 ( 2 + 2 )}{2} i, b = \frac{8 83}{2 2 + 2} + \frac{4 83 ( 2 + 2 )}{2} i, b = - \frac{8 83}{2 2 + 2} - \frac{4 83 ( 2 + 2 )}{2} i, b = - \frac{8 83}{2 2 - 2} + \frac{4 83 ( 2 - 2 )}{2} i, b = \frac{8 83}{2 2 - 2} - \frac{4 83 ( 2 - 2 )}{2} i

Graph

Beliebte Beispiele

solvefor y,y^4=x

so l v e f or y, y^{4} = x

h^{4} = 3

27x^2-42x-3x^3=0

27 x^{2} - 42 x - 3 x^{3} = 0

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

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

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