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) ![]() You can put this solution on YOUR website! 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) \n" ); document.write( " |