x^3=35

Lösung

x^{3} = 35

x = 335, x = - 335 \frac{1}{2} + 335 \frac{3}{2} i, x = - 335 \frac{1}{2} - 335 \frac{3}{2} i

Schritte zur Lösung

x^{3} = 35

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 = 335, x = 335 \frac{- 1 + 3 i}{2}, x = 335 \frac{- 1 - 3 i}{2}

Vereinfache

335 \frac{- 1 + 3 i}{2} : - 335 \frac{1}{2} + 335 \frac{3}{2} i

Vereinfache

335 \frac{- 1 - 3 i}{2} : - 335 \frac{1}{2} - 335 \frac{3}{2} i

x = 335, x = - 335 \frac{1}{2} + 335 \frac{3}{2} i, x = - 335 \frac{1}{2} - 335 \frac{3}{2} i

\frac{6 x ^{4}}{3} = 32

x^{3} = 7 x

2 x^{3} + 7 x^{2} + 32 x + 112 = 0

- 3 x^{4} + 8 x^{2} - 2 x - 9 = 0

(r^{2} + 2 r + 10)^{3} r (r + 1)^{2} = 0