document.write( "Question 870637: Square root 3x+3 plus square root x+2 = 5
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #525010 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%283x%2B3%29%2Bsqrt%28x%2B2%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283x%2B3%29+=+5-sqrt%28x%2B2%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%283x%2B3%29%29%5E2+=+%285-sqrt%28x%2B2%29%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%2B3+=+%285-sqrt%28x%2B2%29%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%2B3+=+25-10%2Asqrt%28x%2B2%29%2Bx%2B2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%2B3+=+27-10%2Asqrt%28x%2B2%29%2Bx\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%2B3-27-x=-10%2Asqrt%28x%2B2%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x-24=-10%2Asqrt%28x%2B2%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282x-24%29%5E2=%28-10%2Asqrt%28x%2B2%29%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-96x%2B576=100%28x%2B2%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-96x%2B576=100x%2B200\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-96x%2B576-100x-200=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-196x%2B376=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%28x%5E2-49x%2B94%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2-49x%2B94=0%2F4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2-49x%2B94=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-47%29%28x-2%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-47=0\" or \"x-2=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=47\" or \"x=2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The *possible* answers are \"x=47\" or \"x=2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We need to check them.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Checking \"x=47\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283x%2B3%29%2Bsqrt%28x%2B2%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283%2A47%2B3%29%2Bsqrt%2847%2B2%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%28141%2B3%29%2Bsqrt%2847%2B2%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%28144%29%2Bsqrt%2849%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"12%2B7+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"19+=+5\" This is FALSE. So \"x=47\" is NOT a solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Checking \"x=2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283x%2B3%29%2Bsqrt%28x%2B2%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%283%2A2%2B3%29%2Bsqrt%282%2B2%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%286%2B3%29%2Bsqrt%282%2B2%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%289%29%2Bsqrt%284%29+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2B2+=+5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5+=+5\" This is TRUE. So \"x=2\" is a solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=============================================================\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Final Answer: \"x=2\"
\n" ); document.write( "
\n" );