document.write( "Question 249418: Solve for x: The square root of \"3x^2-8\" plus x=0 \n" ); document.write( "
Algebra.Com's Answer #185300 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
sqrt(3x^2-8)+x=0
\n" ); document.write( "sqrt(3x^2-8)=-x
\n" ); document.write( "square both sides
\n" ); document.write( "3x^2-8=x^2
\n" ); document.write( "subtract x^2 from both sides\r
\n" ); document.write( "\n" ); document.write( "2x^2-8=0
\n" ); document.write( "2x^2=8
\n" ); document.write( "x^2=4
\n" ); document.write( "x=+\-2
\n" ); document.write( "check in original
\n" ); document.write( "sqrt(3x^2-8)+x=0
\n" ); document.write( "sqrt(3*2^2-8)+2
\n" ); document.write( "sqrt(3*4-8)+2=0
\n" ); document.write( "sqrt(12-8)+2=0
\n" ); document.write( "sqrt(4)+2=0
\n" ); document.write( "+\-2+2=0
\n" ); document.write( "-2+2=0 ok
\n" ); document.write( "+2+2=0
\n" ); document.write( "4=0 not ok
\n" ); document.write( "We get a similar result with -2
\n" ); document.write( "sqrt(4)-2=0
\n" ); document.write( "2-2=0 ok
\n" ); document.write( "-2-2=0
\n" ); document.write( "-4=0 not ok\r
\n" ); document.write( "\n" ); document.write( "sometimes it works and sometimes it doesn't\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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