document.write( "Question 838708: 6x - 5x^1/2 =6 \n" ); document.write( "

Algebra.Com's Answer #505248 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Use a substitution, $\"u=sqrt%28x%29\"$ , $\"u%5E2=x\"$
\n" ); document.write( " $\"6x+-+5%2Asqrt%28x%29+=6\"$
\n" ); document.write( " $\"6u%5E2-5u-6=0\"$
\n" ); document.write( " $\"%283u%2B2%29%282u-3%29=0\"$
\n" ); document.write( "Two possible solutions:
\n" ); document.write( " $\"3u%2B2=0\"$
\n" ); document.write( " $\"3u=-2\"$
\n" ); document.write( " $\"u=-2%2F3\"$
\n" ); document.write( " $\"sqrt%28x%29=-2%2F3\"$
\n" ); document.write( "Not a solution.
\n" ); document.write( "and
\n" ); document.write( " $\"2u-3=0\"$
\n" ); document.write( " $\"2u=3\"$
\n" ); document.write( " $\"u=3%2F2\"$
\n" ); document.write( " $\"sqrt%28x%29=3%2F2\"$
\n" ); document.write( " $\"highlight%28x=9%2F4%29\"$ \n" ); document.write( "

\n" );