document.write( "Question 752499: 1. Solve
\n" ); document.write( "a) -3√ (2x+1) +5 = -4
\n" ); document.write( "Can you please help me out? Thanks so much in advance:)
\n" ); document.write( "Can you please show the steps it would really help me understand:)
\n" ); document.write( "

Algebra.Com's Answer #457807 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "  -3√2x+1 + 5 = -4\r\n" );
document.write( "\r\n" );
document.write( "We want to isolate the radical term -3√2x+1 on the left.\r\n" );
document.write( "\r\n" );
document.write( "So we add -5 to both sides to get rid of the +5 on the left\r\n" );
document.write( "\r\n" );
document.write( "      -3√2x+1 = -9\r\n" );
document.write( "\r\n" );
document.write( "We square both sides:\r\n" );
document.write( "\r\n" );
document.write( "   (-3√2x+1)² = (-9)²\r\n" );
document.write( "\r\n" );
document.write( "(-3)²(√2x+1)² = 81\r\n" );
document.write( "\r\n" );
document.write( "      9(2x+1) = 81\r\n" );
document.write( "\r\n" );
document.write( "        18x+9 = 81\r\n" );
document.write( "\r\n" );
document.write( "          18x = 72\r\n" );
document.write( "\r\n" );
document.write( "            x = \"72%2F18\"\r\n" );
document.write( "\r\n" );
document.write( "            x = 4 \r\n" );
document.write( "\r\n" );
document.write( "We MUST ALWAYS check radical equations,\r\n" );
document.write( "because when you square both sides of\r\n" );
document.write( "an equation, you would get the same\r\n" );
document.write( "equation whether what was squared was\r\n" );
document.write( "positive or negative.  So you may get\r\n" );
document.write( "phony solutions, called \"extraneous\r\n" );
document.write( "solutions\". \r\n" );
document.write( " \r\n" );
document.write( "  -3√2x+1 + 5 = -4\r\n" );
document.write( "\r\n" );
document.write( "-3√2(4)+1 + 5 = -4\r\n" );
document.write( "\r\n" );
document.write( "   -3√8+1 + 5 = -4\r\n" );
document.write( "\r\n" );
document.write( "     -3√9 + 5 = -4\r\n" );
document.write( "\r\n" );
document.write( "    -3(3) + 5 = -4\r\n" );
document.write( "\r\n" );
document.write( "       -9 + 5 = -4\r\n" );
document.write( "\r\n" );
document.write( "           -4 = -4\r\n" );
document.write( "\r\n" );
document.write( "So it checks.  The solution is 4\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );