You can put this solution on YOUR website! find all solutions for intervals [0,2π) for tan^2x=2+tanx
tan^2(x)-tan(x)-2=0
(tanx-2)(tanx+1)=0
tanx=2
x≈1.107, 4.248 (in quadrants I and III in which tan>0)
or
tanx=-1
x≈2.356, 5.497 (in quadrants II and IV in which tan<0)
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