625=(x^2+20x)^{4/3}

Lösung

625 = (x^{2} + 20 x)^{\frac{4}{3}}

x = - 10 + (100 + 4244140625)^{\frac{1}{2}}, x = - (100 + 4244140625)^{\frac{1}{2}} - 10

Dezimale

x = 5, x = - 25

Schritte zur Lösung

625 = (x^{2} + 20 x)^{\frac{4}{3}}

Potenziere beide Seiten der Gleichung mit

3 : 244140625 = (x^{2} + 20 x)^{4}

244140625 = (x^{2} + 20 x)^{4}

Löse

244140625 = (x^{2} + 20 x)^{4} : x = - 10 + (100 + 4244140625)^{\frac{1}{2}}, x = - (100 + 4244140625)^{\frac{1}{2}} - 10

x = - 10 + (100 + 4244140625)^{\frac{1}{2}}, x = - (100 + 4244140625)^{\frac{1}{2}} - 10

Überprüfe die Lösungen:

x = - 10 + (100 + 4244140625)^{\frac{1}{2}}

Wahr

, x = - (100 + 4244140625)^{\frac{1}{2}} - 10

Wahr

Die Lösungen sind

x = - 10 + (100 + 4244140625)^{\frac{1}{2}}, x = - (100 + 4244140625)^{\frac{1}{2}} - 10

x^{2} - 2 x + 1 + x^{2} = 1

4 = (0.5 k)^{0.5} \cdot k

50 = \frac{2 x}{2200}

(6 x - 2)^{\frac{3}{2}} - 7 = 1

- 1 = - \frac{3}{2 t}