document.write( "Question 169761: I am having a porblem trying to figure out how to work this problem please help..\r
\n" ); document.write( "\n" ); document.write( "solve each equation and please show your work\r
\n" ); document.write( "\n" ); document.write( "sqrt of 2w^2 -3w - 4 = sqrt w^2+ 6w + 6\r
\n" ); document.write( "\n" ); document.write( "I know that you have to get the problem on one side to + 0, but I am having problems with trying to work it out, please help me. Thank you
\n" ); document.write( "

Algebra.Com's Answer #125121 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
sqrt(2w^2-3w-4)=sqrt(w^2+6w+6)
\n" ); document.write( "squaring both sides we get:
\n" ); document.write( "2w^2-3w-4=w^2+6w+6
\n" ); document.write( "2w^2-w^2-3w-6w-4-6=0
\n" ); document.write( "w^2-9w-10=0
\n" ); document.write( "(w-10)(w+1)=0
\n" ); document.write( "w-10=0
\n" ); document.write( "w=10 ans.
\n" ); document.write( "w+1=0
\n" ); document.write( "w=-1 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "sqrt(2*10^2-3*10-4)=sqrt(10^2+6*10+6)
\n" ); document.write( "sqrt(2*100-30-4)=sqrt(100+60+6)
\n" ); document.write( "sqrt(200-34)=sqrt(166)
\n" ); document.write( "sqrt(166)=sqrt(166)\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );