document.write( "Question 612920: what is the solution to radical(x+10)+radical(3-x)=5 please \n" ); document.write( "
Algebra.Com's Answer #385793 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%28x%2B10%29%2Bsqrt%283-x%29=5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%28x%2B10%29=5-sqrt%283-x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28x%2B10%29%29%5E2=5-sqrt%283-x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B10=%285-sqrt%283-x%29%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B10=25-10%2Asqrt%283-x%29%2B3-x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B10=28-10%2Asqrt%283-x%29-x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B10-28%2Bx=-10%2Asqrt%283-x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x-18=-10%2Asqrt%283-x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282x-18%29%5E2=%28-10%2Asqrt%283-x%29%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282x-18%29%5E2=100%2A%283-x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-72x%2B324=100%2A%283-x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-72x%2B324=300-100x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-72x%2B324-300%2B100x=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B28x%2B24=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%28x%5E2%2B7x%2B6%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%28x%2B6%29%28x%2B1%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B6=0\" or \"x%2B1=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-6\" or \"x=-1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the possible solutions are \"x=-6\" or \"x=-1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I'll let you check your answers\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note: a check is crucial when dealing with radical equations since one of those possible solutions may not even be a solution at all.
\n" ); document.write( "
\n" );