1/(x^(1/4)-1) + 3/(x^(1/4)+1) =2 найти наибольший корень уравнения

Приведем к общему знаменателю:(x^(1/4) + 1 + 3(x^(1/4) - 1))/((x^(1/4) - 1)(x^(1/4) + 1)) = 2(x^(1/4) + 1 +3x^(1/4) - 3)/((x^(1/4))^2 - 1^2) = 2(4x^(1/4) - 2)/(x^(1/2) - 1) = 2/14x^(1/4) - 2 = 2(x^(1/2) - 1)4x^(1/4) - 2 = 2x^(1/2) - 24x^(1/4) - 2 - 2x^(1/2) + 2 = 04x^(1/4) - 2x^(1/2) = 0 | : (-2)x^(1/2) - 2x^(1/4) = 0Замена x^(1/4) = tt^2 - 2t = 0t(t - 2) = 0t = 0 или t - 2 = 0t = 0, t = 2Обратная заменаx^(1/4) = 0, x^(1/4) = 2x = 0^4, x = 2^4x = 0, x = 16Ответ: 16.