document.write( "Question 964624: e^x(2e^x-1)=10 \n" ); document.write( "

Algebra.Com's Answer #589447 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is a quadratic equation in disguise.
\n" ); document.write( "Let $\"u=e%5Ex\"$
\n" ); document.write( " $\"u%282u-1%29=10\"$
\n" ); document.write( " $\"2u%5E2-u-10=0\"$
\n" ); document.write( " $\"%28u%2B2%29%282u-5%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"u%2B2=0\"$
\n" ); document.write( " $\"u=-2\"$
\n" ); document.write( " $\"e%5Ex=-2\"$
\n" ); document.write( "Not possible.
\n" ); document.write( " $\"2u-5=0\"$
\n" ); document.write( " $\"2u=5\"$
\n" ); document.write( " $\"u=5%2F2\"$
\n" ); document.write( " $\"e%5Ex=%285%2F2%29\"$
\n" ); document.write( " $\"x=ln%285%2F2%29\"$
\n" ); document.write( " $\"highlight%28x=ln%285%29-ln%282%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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