用换元法解方程：3x/X^2-1+X^2-1/3x=5/2 帮忙解一下啊!我的过程写的不是很对! 很急的!快哦

令 t = 3x/(x² - 1)则 t + 1/t = 5/22t² - 5t + 2 = 0(2t - 1)(t - 2) = 0t = 1/2 或 t = 2当 t = 1/2 时,3x/(x² - 1) = 1/2x = 3 + √10 或 x = 3 - √10当 t = 2 时,3x/(x² - 1) = 2x = 2 或 x = -1/2综上：x = 3 + √10 或 x = 3 - √10 或 x = 2 或 x = -1/2