求实数x > 1和y > 1的 (x^2) / ((y - 1) + (y^2) / ((x - 1) 的最小值.
然后,我们得到了: a/b+b/a ≥ 2 sqrta/b*b/a= 2 和 (a^2) + (b^2) + (b^2) + (b^2) + (b^2) + (a^2) = (a^2 + 2a + 1) /b + (b^2 + 2b + 1) /a = 2 (a/b + b/a) + (a^2) /b + 1/b + (b^2) /a + 1/a. 通过 AM-GM,我们得到了: a/b + b/a ≥ 2 sqrta/b*b/a= 2 和 (a^2) + (b^2) + (b^2) + (b^2) + (a^2) + (a^4) ≥ 4 (a^2) /b*1/b*2 (b^2) /a^2) = (b^4) = 2 (b^2) + (b^2) + (b^2) + (b^2) + (b^2) = 2,所以最小值是 x = 2,所以 x = 2,所以 x = 2,所以 x = 2