document.write( "Question 854427: Approximate the solutions of
\n" ); document.write( "3 tan^2 x + 4 tan x − 4 = 0
\n" ); document.write( "in the interval [0, 2π) \n" ); document.write( "

Algebra.Com's Answer #514676 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution, $\"u=tan%28x%29\"$
\n" ); document.write( " $\"3u%5E2%2B4u-4=0\"$
\n" ); document.write( " $\"%283u-2%29%28u%2B2%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"3u-2=0\"$
\n" ); document.write( " $\"3u=2\"$
\n" ); document.write( " $\"u=2%2F3\"$
\n" ); document.write( " $\"tan%28x%29=2%2F3\"$
\n" ); document.write( " $\"x=atan%282%2F3%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"u%2B2=0\"$
\n" ); document.write( " $\"u=-2\"$
\n" ); document.write( " $\"tan%28x%29=-2\"$
\n" ); document.write( " $\"x=atan%28-2%29\"$
\n" ); document.write( " \n" ); document.write( "

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