Question

решите неравенство
$frac{6}{ {x}^{2} - x - 6 } < - 1$

Answer 1

$frac{6}{ {x}^{2} - x - 6} < - 1 \ odz \ {x}^{2} - x - 6≠0 \ d = 1 + 4 times 6 = 25 = {5}^{2} \ x ≠ frac{1±5}{2} = 3;- 2 \ frac{6}{ {x}^{2} - x - 6 } + 1 < 0 \ frac{6 + {x}^{2} - x - 6}{ {x}^{2} - x - 6} \ frac{ {x }^{2} - x}{ {x}^{2} - x - 6 } < 0 \ {x}^{2} - x = 0 \ x(x - 1) = 0 \ x = 0 \ x = 1 \ + + ( - 2) - - (0 )+ + (1) - - (3 ) + + \ xin( - 2;0)cup(1;3)$