document.write( "Question 874464: please help me find all solutions for intervals [0,2π) for tan^2x=2+tanx \n" ); document.write( "
Algebra.Com's Answer #527642 by lwsshak3(11628)\"\" \"About 
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find all solutions for intervals [0,2π) for tan^2x=2+tanx
\n" ); document.write( "tan^2(x)-tan(x)-2=0
\n" ); document.write( "(tanx-2)(tanx+1)=0
\n" ); document.write( "tanx=2
\n" ); document.write( "x≈1.107, 4.248 (in quadrants I and III in which tan>0)
\n" ); document.write( "or
\n" ); document.write( "tanx=-1
\n" ); document.write( "x≈2.356, 5.497 (in quadrants II and IV in which tan<0)
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