document.write( "Question 1058610: I would appreciate it if someone could help me out with this problem:\r
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document.write( "Solve the equation for 0 degrees<=x<=360 degrees. Express your answer as an exact value.
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document.write( "tan^2x- ( sqrt( 3 ) +1) tanx + sqrt( 3 ) = 0\r
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Algebra.Com's Answer #673700 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solve the equation for 0 degrees<=x<=360 degrees. Express your answer as an exact value. \n" ); document.write( "tan^2x- ( sqrt( 3 ) +1) tanx + sqrt( 3 ) = 0 \n" ); document.write( "--------- \n" ); document.write( "Sub u for tan(x) \n" ); document.write( "--- \n" ); document.write( "u^2 + (sqrt(3)+1)u + sqrt(3) = 0 \n" ); document.write( "(u + 1)*(u + sqrt(3)) = 0 **** Lucky it can be factored. \n" ); document.write( "u = -1 \n" ); document.write( "tan(x) = -1 \n" ); document.write( "x = 135, 315 degs \n" ); document.write( "----- \n" ); document.write( "tan(x) = -sqrt(3) \n" ); document.write( "x = 120, 300 degs \n" ); document.write( " \n" ); document.write( " |