Question

Quanto é (x sobre 2 menos 3 sobre 2)(X sobre 3 menos 2 sobre 3)= 0

Answer 1

(x/2 - 3/2) (x/3-2/3) = 0

$( \frac{x-3}{2} )( \frac{x-2}{3} ) = 0\\\\ \frac{x^{2} - 2x - 3x + 6}{6} = 0\\\\ \frac{x^{2} - 5x + 6}{6} = 0\\\\ \frac{1}{6}x^2 - \frac{5}{6}x + 1 = 0 \\\\\\ D = b^2 - 4ac\\\\ D = ( \frac{-5}{2})^2 - 4*( \frac{1}{6})*1\\\\ D = \frac{25}{4} - \frac{4}{6} \\\\ D = \frac{75-8}{12} = \frac{67}{12}$