y^3=4

Lösung

y^{3} = 4

y = 34, y = - 34 \frac{1}{2} + 34 \frac{3}{2} i, y = - 34 \frac{1}{2} - 34 \frac{3}{2} i

Schritte zur Lösung

y^{3} = 4

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}

y = 34, y = 34 \frac{- 1 + 3 i}{2}, y = 34 \frac{- 1 - 3 i}{2}

Vereinfache

34 \frac{- 1 + 3 i}{2} : - 34 \frac{1}{2} + 34 \frac{3}{2} i

Vereinfache

34 \frac{- 1 - 3 i}{2} : - 34 \frac{1}{2} - 34 \frac{3}{2} i

y = 34, y = - 34 \frac{1}{2} + 34 \frac{3}{2} i, y = - 34 \frac{1}{2} - 34 \frac{3}{2} i

x^{3} + 9 x^{2} + 32 x + 32 = 0

x^{3} - 3 x^{2} - 6 x + 10 = 0

8 x^{3} = 1

x^{7} = - 1

20 x^{3} = 0