document.write( "Question 78177: can you please check this for me? I have to solve and check.\r
\n" ); document.write( "\n" ); document.write( "sqrt\"4x%2B1\"+3+0
\n" ); document.write( "sqrt\"4x%2B1\"=-3
\n" ); document.write( "sqrt\"4x%2B1\"^2=(-3)^2
\n" ); document.write( "4x+1=3
\n" ); document.write( "x=-3
\n" ); document.write( "check
\n" ); document.write( "sqrt\"4%28-3%29\"+1+3=0
\n" ); document.write( "sqrt\"3\"+3=0
\n" ); document.write( "6=0
\n" ); document.write( "

Algebra.Com's Answer #56088 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%284x%2B1%29%2B3=0\" Start with the given expression
\n" ); document.write( "\"sqrt%284x%2B1%29=-3\" Subtract 3 from both sides
\n" ); document.write( "Since this equation is never true, there are no solutions (you cannot take a square root and get a negative number). But for the sake of the problem lets see what happens...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%284x%2B1%29%29%5E2=%28-3%29%5E2\" Square both sides. Both sides will be positive so we will have 1 answer
\n" ); document.write( "\"4x%2B1=9\"
\n" ); document.write( "\"4x=8\" Subtract 1 from both sides
\n" ); document.write( "\"x=2\" Divide both sides by 4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"sqrt%284x%2B1%29%2B3=0\"
\n" ); document.write( "\"sqrt%284%282%29%2B1%29%2B3=0\" Plug in x=2
\n" ); document.write( "\"sqrt%288%2B1%29%2B3=0\"
\n" ); document.write( "\"sqrt%289%29%2B3=0\"
\n" ); document.write( "\"3%2B3=0\"
\n" ); document.write( "\"6=0\" This is not true. We should have \"-3%2B3=0\". But since we cannot take a square root and get a negative number, we have no solution.
\n" ); document.write( "
\n" );