Question

Number of real solution(s) of the equation
tan^-1(x-1/x+2)+tan^-1(x+1/x+2)=π/4 is​

Answer 1

Answer:

tan^-1(x-1/x+2)+tan^-1(x+1/x+2)=π/4

tan^-1[(x-1/x+2+x+1/x+2)/1-(x-1/x+2)*(x+1x+2)]

tan^-1[(2x/x+2)/(x+2)^2-(x+1)/(x+2)^2

tan^-1[(2x(x+2)/(x+2)^2-(x+1)]

tan^-1[(2x^2+4x)/x^2+4x+4-x]