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Solve for x : tan^(-1)((x-2)/(x-1))+ta...

Solve for `x :` `tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4`

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If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=