document.write( "Question 838674: 3^2+x + 3^2-x = 82 \n" ); document.write( "

Algebra.Com's Answer #505195 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"u=3%5Ex\"$ , $\"3%5E%282%2Bx%29=9%2A3%5Ex=9u\"$ , $\"3%5E%282-x%29=9%2F3%5Ex=9%2Fu\"$
\n" ); document.write( " $\"3%5E%282%2Bx%29+%2B+3%5E%282-x%29+=+82\"$
\n" ); document.write( " $\"9u%2B9%2Fu=82\"$
\n" ); document.write( " $\"9u%5E2%2B9=82u\"$
\n" ); document.write( " $\"9u%5E2-82u%2B9=0\"$
\n" ); document.write( " $\"%289u-1%29%28u-9%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"9u-1=0\"$
\n" ); document.write( " $\"9u=1\"$
\n" ); document.write( " $\"u=1%2F9\"$
\n" ); document.write( " $\"3%5Ex=1%2F9\"$
\n" ); document.write( " $\"x=-2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"u-9=0\"$
\n" ); document.write( " $\"u=9\"$
\n" ); document.write( " $\"3%5Ex=9\"$
\n" ); document.write( " $\"x=2\"$ \n" ); document.write( "

\n" );