solvefor x,x^3= y/2

Lösung

löse nach

x, x^{3} = \frac{y}{2}

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

Schritte zur Lösung

x^{3} = \frac{y}{2}

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

Vereinfache

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

Vereinfache

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

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

x (1 - \frac{x ^{3}}{2000}) = 0

so l v e f or x, x^{3} + y^{3} = 36

x^{3} + 2 x - 9 x - 18 = 0

x^{3} + x^{2} - 5 = 0

x^{2} (x + 8)^{2} = 140