0=-0.05k+1.6k^{0.5}+6.4

Lösung

0 = - 0.05 k + 1.6 k^{0.5} + 6.4

k = \frac{3.2 + 9.830 4 ^{\frac{1}{2}}}{0.005}

Dezimale

k = 1267.06937 \dots

Schritte zur Lösung

0 = - 0.05 k + 1.6 k^{0.5} + 6.4

Quadratwurzeln entfernen

0.0025 k^{2} - 0.64 k + 40.96 = 2.56 k

Löse

0.0025 k^{2} - 0.64 k + 40.96 = 2.56 k : k = \frac{3.2 + 9.830 4 ^{\frac{1}{2}}}{0.005}, k = \frac{3.2 - 9.830 4 ^{\frac{1}{2}}}{0.005}

k = \frac{3.2 + 9.830 4 ^{\frac{1}{2}}}{0.005}, k = \frac{3.2 - 9.830 4 ^{\frac{1}{2}}}{0.005}

Überprüfe die Lösungen:

k = \frac{3.2 + 9.830 4 ^{\frac{1}{2}}}{0.005}

Wahr

, k = \frac{3.2 - 9.830 4 ^{\frac{1}{2}}}{0.005}

Falsch

Deshalb ist die Lösung

k = \frac{3.2 + 9.830 4 ^{\frac{1}{2}}}{0.005}

\frac{2}{3 x ^{\frac{1}{3}}} = 1

8 = 4 t^{3}

4 x = 7

x + x^{2} - 13 = 6

x + 8 - 5 = - 2