(x+4)^3=5^3

Lösung

(x + 4)^{3} = 5^{3}

x = 1, x = - \frac{13}{2} + i \frac{5 3}{2}, x = - \frac{13}{2} - i \frac{5 3}{2}

Schritte zur Lösung

(x + 4)^{3} = 5^{3}

5^{3} = 125

(x + 4)^{3} = 125

Für

g^{3} (x) = f (a)

sind die Lösungen

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

Löse

x + 4 = 3125 : x = 1

Löse

x + 4 = 3125 \frac{- 1 + 3 i}{2} : x = - \frac{13}{2} + i \frac{5 3}{2}

Löse

x + 4 = 3125 \frac{- 1 - 3 i}{2} : x = - \frac{13}{2} - i \frac{5 3}{2}

Die Lösungen sind

x = 1, x = - \frac{13}{2} + i \frac{5 3}{2}, x = - \frac{13}{2} - i \frac{5 3}{2}

\frac{x ^{2}}{3} x = 6

(x + 2) (x^{2} + 6 x + 10) = 0

(2 x - 1)^{3} - 4 x (2 x - 3) = 5

so l v e f or a, a^{5} 4^{- 2} = 2

y^{3} = - 27