document.write( "Question 1038841: Use the Quadratic Formula to solve the equation in the interval [0, 2π). Then use a graphing utility to approximate the angle x. (Enter your answers as a comma-separated list. Round each answer to four decimal places.)\r
\n" ); document.write( "\n" ); document.write( "tan^2 x + 5 tan x + 3 = 0
\n" ); document.write( "

Algebra.Com's Answer #653596 by ikleyn(52797)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Use the Quadratic Formula to solve the equation in the interval [0, 2π). Then use a graphing utility to approximate the angle x.
\n" ); document.write( "(Enter your answers as a comma-separated list. Round each answer to four decimal places.)\r
\n" ); document.write( "\n" ); document.write( "tan^2 x + 5 tan x + 3 = 0
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Introduce new variable u = tan(x).\r\n" );
document.write( "Then your equation becomes\r\n" );
document.write( "\r\n" );
document.write( "\"u%5E2+%2B+5u+%2B+3\" = \"0\".\r\n" );
document.write( "\r\n" );
document.write( "Solve this quadratic equation by quadratic formula. You will get\r\n" );
document.write( "\r\n" );
document.write( "\"u%5B1%2C2%5D\" = \"%28-5+%2B-+sqrt%2825-4%2A3%29%29%2F2\" = \"%28-5+%2B-+sqrt%2813%29%29%2F2\".\r\n" );
document.write( "\r\n" );
document.write( "\"u%5B1%5D\" = \"%28-5%2Bsqrt%2813%29%29%2F2\"  --->  tan(x) = \"%28-5%2Bsqrt%2813%29%29%2F2\"  --->  x = \"arctan%28%28-5%2Bsqrt%2813%29%29%2F2%29\"  --->  apply your calculator.\r\n" );
document.write( "\r\n" );
document.write( "\"u%5B2%5D\" = \"%28-5-sqrt%2813%29%29%2F2\"  --->  tan(x) = \"%28-5-sqrt%2813%29%29%2F2\"  --->  x = \"arctan%28%28-5-sqrt%2813%29%29%2F2%29%29\"  --->  apply your calculator.\r\n" );
document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" );