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问题: arctan(x+2)=arctan1+arctan(x+1)

解方程arctan(x+2)=arctan1+arctan(x+1)

解答:

arctan(x+2)=arctan1+arctan(x+1)

--->tan[arctan(x+2)]=tan[arctan1+arctan(x+1)]
--->x+2 = [1+(x+1)]/[1-1*(x+1)]=(x+2)/(-x)
--->-x(x+2)=(x+2)
--->(x+2)(x+1)=0
--->x=-1,-2