document.write( "Question 178562: Solve this equation: x/3 = 4/x+1 \n" ); document.write( "

Algebra.Com's Answer #133527 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Since no parenthesis used, we assumed the following:
\n" ); document.write( " $\"%28x%2F3%29=4%2F%28x%2B1%29\"$
\n" ); document.write( "cross multiply,
\n" ); document.write( " $\"x%28x%2B1%29=4%2A3\"$
\n" ); document.write( " $\"x%5E2%2Bx=12\"$ ---> $\"x%5E2%2Bx-12=0\"$
\n" ); document.write( "By QUADRATIC, where $\"system%28a=1%2Cb=1%2Cc=-12%29\"$
\n" ); document.write( "
\n" ); document.write( " $\"x=%28-1%2B-sqrt%281%2B48%29%29%2F2=%28-1%2B-sqrt%2849%29%29%2F2=%281%2B-7%29%2F2\"$
\n" ); document.write( "2 values:
\n" ); document.write( " $\"x=%28-1%2B7%29%2F2=6%2F2=highlight%283%29\"$ Answer
\n" ); document.write( " $\"x=%28-1-7%29%2F2=-8%2F2=-4\"$ , discard
\n" ); document.write( "Check:
\n" ); document.write( " $\"3%2F3=4%2F%283%2B1%29\"$
\n" ); document.write( " $\"1=4%2F4\"$
\n" ); document.write( " $\"1=1\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

\n" );