Вправи 201 - 300 » 254 (2)

2) (х+6)/(х^2- 6х) = (х-36)/(〖2х〗^2- 72) + (х-6)/(〖2х〗^2+ 12х); (х+6^(\2(х+6))/(х^2- 6х) – (х-36^(\х))/(〖2(х〗^2- 36)) – (х-6^(\х-6))/(2х(х+ 6)) = 0; (〖2(х+6)〗^2- х^2+ 36х- 〖(х-6)〗^2)/(2х(х-6)(х+6)) = 0; ОДЗ: х – будь–яке число, крім 0; –6; 6. 2(x2 + 12x + 36) – x2 + 36x – (x2 – 12x + 36) = 0; 2x2 + 24x + 72 – x2 + 36x – x2 + 12x – 36 = 0; 72x + 36 = 0; 72x = –36| : 72; x = –36/72 = –0,5.