Решите неравенство _(sqrt(6-x))(6+x) + _(sqrt(6+x))(6-x) 5 .

_(sqrt(6-x))(6+x) + _(sqrt(6+x))(6-x) 5 (2ln(6+x))/(ln(6-x)) + (2ln(6-x))/(ln(6+x)) 5 (2ln^2(6+x) - 5ln(6+x)ln(6-x) + 2ln^2(6-x))/(ln(6+x)ln(6-x)) 0 (( ln( (6+x)^2 ) - ln(6-x) )( ln(6+x) - ln( (6-x)^2 ) ))/(ln(6+x)ln(6-x)) 0 cases -6 < x < 6 (( (6+x)^2 - (6-x) )( (6+x) - (6-x)^2 ))/((5+x)(5-x)) 0 cases cases -6 < x < 6 ((x^2 + 13x + 30)(-x^2 + 13x - 30))/((5+x)(5-x)) 0 cases cases -6 < x < 6 ((x+10)(x+3)(x-10)(x-3))/((x+5)(x-5)) 0 cases cases -6 < x < 6 [ arrayl -10 x < -5 -3 x 3 5 < x 10 array . cases [ arrayl -6 < x < -5 -3 x 3 5 < x < 6 array .

x \in (-6, -5) \cup [-3, 3] \cup (5, 6)