v^3=26

Lösung

v^{3} = 26

v = 326, v = - 326 \frac{1}{2} + 326 \frac{3}{2} i, v = - 326 \frac{1}{2} - 326 \frac{3}{2} i

Schritte zur Lösung

v^{3} = 26

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}

v = 326, v = 326 \frac{- 1 + 3 i}{2}, v = 326 \frac{- 1 - 3 i}{2}

Vereinfache

326 \frac{- 1 + 3 i}{2} : - 326 \frac{1}{2} + 326 \frac{3}{2} i

Vereinfache

326 \frac{- 1 - 3 i}{2} : - 326 \frac{1}{2} - 326 \frac{3}{2} i

v = 326, v = - 326 \frac{1}{2} + 326 \frac{3}{2} i, v = - 326 \frac{1}{2} - 326 \frac{3}{2} i

x^{3} - 24 x^{2} + 65 x - 42 = 0

x^{3} - 5 x^{2} - 13 x - 7 = 0

z^{3} = 3 + i

- \frac{1}{8} x^{4} + \frac{5}{2} x^{2} - 8 = 0

x^{5} - 8 x^{3} - 9 x = 0