x^3=36

Lösung

x^{3} = 36

x = 336, x = - 336 \frac{1}{2} + 336 \frac{3}{2} i, x = - 336 \frac{1}{2} - 336 \frac{3}{2} i

Schritte zur Lösung

x^{3} = 36

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 = 336, x = 336 \frac{- 1 + 3 i}{2}, x = 336 \frac{- 1 - 3 i}{2}

Vereinfache

336 \frac{- 1 + 3 i}{2} : - 336 \frac{1}{2} + 336 \frac{3}{2} i

Vereinfache

336 \frac{- 1 - 3 i}{2} : - 336 \frac{1}{2} - 336 \frac{3}{2} i

x = 336, x = - 336 \frac{1}{2} + 336 \frac{3}{2} i, x = - 336 \frac{1}{2} - 336 \frac{3}{2} i

3 x^{25} x - 2 = 0

x^{4} - 10 x^{2} + 16 = 0

2 x^{4} - 2^{\frac{1}{2}} x^{3} - 32 x^{2} + 8 \cdot 2^{\frac{1}{2}} x + 128 = 0

(x - 6)^{4} (x - 8)^{4} = 272

so l v e f or x, b = (3 y + 2 x)^{5}