This is the quadratic equation for tan(x). It has roots -1 and 2.
tan(x)=-1 on `(0, 2pi)` at `x_1=(3pi)/4` and `x_2=(7pi)/4.`
tan(x)=2 on `(0, 2pi)` at `x_3=tan^(-1)(2)` and `x_4=pi+tan^(-1)(2).`
There are 4 roots at all.
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