document.write( "Question 869378: Please help!!
\n" ); document.write( "solve the following exponential equation.
\n" ); document.write( "2^2+2t + 3(2^t) - 1 = 0 \n" ); document.write( "

Algebra.Com's Answer #524191 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
I corrected what I think is a missing parentheses in the first term.
\n" ); document.write( " $\"2%5E%282%2B2t%29+%2B+3%282%5Et%29+-+1+=+0\"$
\n" ); document.write( " $\"4%2A2%5E%282t%29%2B3%2A2%5Et-1=0\"$
\n" ); document.write( "Substitute,
\n" ); document.write( " $\"u=2%5Et\"$
\n" ); document.write( " $\"u%5E2=2%5E%282t%29\"$
\n" ); document.write( " $\"4u%5E2%2B3u-1=0\"$
\n" ); document.write( " $\"%28u%2B1%29%284u-1%29=0\"$
\n" ); document.write( "Only the positive solution makes sense for this problem.
\n" ); document.write( " $\"4u-1=0\"$
\n" ); document.write( " $\"4u=1\"$
\n" ); document.write( " $\"u=1%2F4\"$
\n" ); document.write( " $\"2%5Et=1%2F4\"$
\n" ); document.write( " $\"t=-2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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