Let x > 0, Y > 0, x + y + xy = 2, then the minimum value of X + y is () A. 32B. 1+3C. 23-2D. 2-3

Let x > 0, Y > 0, x + y + xy = 2, then the minimum value of X + y is () A. 32B. 1+3C. 23-2D. 2-3

∵ x ＞ 0, y ＞ 0, ∵ x + y ≥ 2XY (if and only if x = y, take the equal sign), then XY ≤ x + Y2, XY ≤ (x + y) 24, ∵ x + y + xy = 2, ∵ xy = - (x + y) + 2 ≤ (x + y) 24, let t = x + y, then t ＞ 0, substituting the above formula, T2 + 4t-8 ≥ 0, then t ≤ - 2-23 or t ≥ 23-2, then t ≥ 23-2, so the minimum of X + y is

Elden Ring Premiere

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