zaterdag 20 december 2014

Gevonden voorwerpen

\( \large \eqalign{ & 4\sqrt {4 - p} - \frac{1} {3}\left( {\sqrt {4 - p} } \right)^3 - p\sqrt {4 - p} = \frac{8} {3} \cr & Neem\,\,q = \sqrt {4 - p} \cr & Er\,\,geldt:p = 4 - q^2 \cr & 4q - \frac{1} {3}q^3 - \left( {4 - q^2 } \right) \cdot q = \frac{8} {3} \cr & 4q - \frac{1} {3}q^3 - 4q + q^3 = \frac{8} {3} \cr & \frac{2} {3}q^3 = \frac{8} {3} \cr & 2q^3 = 8 \cr & q^3 = 4 \cr & q = \root 3 \of 4 \cr & p = 4 - \left( {\root 3 \of 4 } \right)^2 = 4 - 2\root 3 \of 2 \cr} \)