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" 27.27.If "tan^(-1)3+tan^(-1)x=tan^(-1)...

" 27.27.If "tan^(-1)3+tan^(-1)x=tan^(-1)8," then "x=

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Let |{:(tan^(-1)x, tan^(-1)2x, tan^(-1)3x), (tan^(-1)3x, tan^(-1)x, tan^(-1)2x), (tan^(-1)2x, tan^(-1)3x, tan^(-1)x):}|=0 , then the number of values of x satisfying the equation is