If real numbers x, y, Z satisfy x2 + Y2 + Z2 = 1, then the maximum value of XY + YZ is___ ．

If real numbers x, y, Z satisfy x2 + Y2 + Z2 = 1, then the maximum value of XY + YZ is___ ．

Because 1 = x2 + Y2 + Z2 = (x2 + 12y2) + (12y2 + Z2) ≥ 2x · Y2 + 2 · Y2 · z = 2 (XY + YZ), if and only if x = y2 = Z, the equal sign holds, and when x = y2 = z = 12, the maximum value of XY + YZ is 22

Elden Ring Premiere

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