Question

Sa se calculeze expresia:
$\frac{ \frac{1}{2}-3 }{0,5- \sqrt[3]{8} }$

Answer 1

∛8 = ∛2³ = 2
0,5 = 1/2

[tex]\frac{\frac{1}{2} - 3}{\frac{1}{2} - 2} = \frac{\frac{1}{2} - \frac{6}{2}}{\frac{1}{2}-\frac{4}{2}} = \frac{\frac{1-6}{2}}{\frac{1-4}{2}} = \frac{1-6}{2} : \frac{1-4}{2} \\\\ = \frac{-5}{2} : \frac{-3}{2} = \frac{-5}{2} \cdot \frac{2}{-3} = \frac{-5\cdot2}{-3 \cdot 2} \\\\ = \frac{-10}{-6} = \frac{10}{6} = \frac{5}{3} [/tex]

Rezultat: 5/3