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Question

Solve for X:-
tan−1(x+1)+tan−1(x−1)=tan−18/31

A
14
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B
24
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C
34
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D
54
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Solution

The correct option is A 14
tan1(x+1)+tan1(x1)
=tan1(x+1+x11(x21))
=tan1(2x1x21)=tan1831
=tan1(2x2x2)=tan1831
=22x2=831
=62x=168x2
=8x2+62x16=0
=4x2+31x8=0
=4x2+32xx8=0
=4x(x+81(x+8)=0
=x=14orx=8.

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