(x-7)^3=13

Lösung

(x - 7)^{3} = 13

x = 313 + 7, x = \frac{14 - 3 13}{2} + i \frac{3 13 3}{2}, x = \frac{14 - 3 13}{2} - i \frac{3 13 3}{2}

Schritte zur Lösung

(x - 7)^{3} = 13

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 - 7 = 313 : x = 313 + 7

Löse

x - 7 = 313 \frac{- 1 + 3 i}{2} : x = \frac{14 - 3 13}{2} + i \frac{3 13 3}{2}

Löse

x - 7 = 313 \frac{- 1 - 3 i}{2} : x = \frac{14 - 3 13}{2} - i \frac{3 13 3}{2}

Die Lösungen sind

x = 313 + 7, x = \frac{14 - 3 13}{2} + i \frac{3 13 3}{2}, x = \frac{14 - 3 13}{2} - i \frac{3 13 3}{2}

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

so l v e f or x, x^{3} + y^{2} = 1

(1 - y) (3 - y) (6 - y) = 18

(s^{3} - s^{2} + s - 1) = s^{2} + 3 s + 4

8 x^{4} = 6 x^{3}