Let a and B be the two roots of the equation (lgx) ^ 2-lgx ^ 2-2 = 0. Find logab (note a is the subscript. B is the superscript. + logba (Note b is the subscript. A is the superscript) =?

Since a and B are the two roots of the equation (lgx) ^ 2-lgx ^ 2-2 = 0, and lgx is regarded as an unknown number, let y = lgx, then LGA and LGB are the two roots of the equation y ^ 2-2lgx-2 = 0, and we can get LGA + LGB = 2, (LGA) * (LGB) = - 2 from WIDA's theorem, so LGA / LGB + LGB / LGA = [(LGA + LGB) ^ 2-2lgalgb] / lgalgb = - 4

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