document.write( "Question 869107: how do you solve tan squaredx +3tanx-10=0 \n" ); document.write( "

Algebra.Com's Answer #524029 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution,
\n" ); document.write( " $\"u=tan%28x%29\"$
\n" ); document.write( " $\"u%5E2%2B3u-10=0\"$
\n" ); document.write( " $\"%28u%2B5%29%28u-2%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"u%2B5=0\"$
\n" ); document.write( " $\"u=-5\"$
\n" ); document.write( " $\"tan%28x%29=-5\"$
\n" ); document.write( " $\"x=281.3\"$ and $\"x=101.3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"u-2=0\"$
\n" ); document.write( " $\"u=2\"$
\n" ); document.write( " $\"tan%28x%29=2\"$
\n" ); document.write( " $\"x=63.4\"$ and $\"x=243.4\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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