c^3=46

Lösung

c^{3} = 46

c = 346, c = - 346 \frac{1}{2} + 346 \frac{3}{2} i, c = - 346 \frac{1}{2} - 346 \frac{3}{2} i

Schritte zur Lösung

c^{3} = 46

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}

c = 346, c = 346 \frac{- 1 + 3 i}{2}, c = 346 \frac{- 1 - 3 i}{2}

Vereinfache

346 \frac{- 1 + 3 i}{2} : - 346 \frac{1}{2} + 346 \frac{3}{2} i

Vereinfache

346 \frac{- 1 - 3 i}{2} : - 346 \frac{1}{2} - 346 \frac{3}{2} i

c = 346, c = - 346 \frac{1}{2} + 346 \frac{3}{2} i, c = - 346 \frac{1}{2} - 346 \frac{3}{2} i

z^{3} = (- 53 + 5 i)^{3}

- λ^{3} + 3 λ^{2} + 9 λ + 5 = 0

- x^{3} + 4 x^{2} + 25 x - 100 = 0

9 = x^{5} + x^{3} + x

3 x^{3} - 4 x^{2} - 48 x + 64 = 0