x^3=23

Lösung

x^{3} = 23

x = 323, x = - 323 \frac{1}{2} + 323 \frac{3}{2} i, x = - 323 \frac{1}{2} - 323 \frac{3}{2} i

Schritte zur Lösung

x^{3} = 23

Für

x^{3} = f (a)

sind die Lösungen

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

x = 323, x = 323 \frac{- 1 + 3 i}{2}, x = 323 \frac{- 1 - 3 i}{2}

Vereinfache

323 \frac{- 1 + 3 i}{2} : - 323 \frac{1}{2} + 323 \frac{3}{2} i

Vereinfache

323 \frac{- 1 - 3 i}{2} : - 323 \frac{1}{2} - 323 \frac{3}{2} i

x = 323, x = - 323 \frac{1}{2} + 323 \frac{3}{2} i, x = - 323 \frac{1}{2} - 323 \frac{3}{2} i

x^{3} = 54

(x - 7) (x + 1) (x - 9) = 0

x^{5} - 13 x^{3} + 36 x = 0

x^{6} + 36 = 100

(2 x - 1) (x^{2} - 14) = 0