c^3=49

Lösung

c^{3} = 49

c = 349, c = - 349 \frac{1}{2} + 349 \frac{3}{2} i, c = - 349 \frac{1}{2} - 349 \frac{3}{2} i

Schritte zur Lösung

c^{3} = 49

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 = 349, c = 349 \frac{- 1 + 3 i}{2}, c = 349 \frac{- 1 - 3 i}{2}

Vereinfache

349 \frac{- 1 + 3 i}{2} : - 349 \frac{1}{2} + 349 \frac{3}{2} i

Vereinfache

349 \frac{- 1 - 3 i}{2} : - 349 \frac{1}{2} - 349 \frac{3}{2} i

c = 349, c = - 349 \frac{1}{2} + 349 \frac{3}{2} i, c = - 349 \frac{1}{2} - 349 \frac{3}{2} i

x^{3} + a = c

(x^{2} - 1)^{3} = 0

(8 x^{2} - 10 x - 3) (2 x + b) = 0

x^{5} = 121 x^{3}

d^{3} = 27