document.write( "Question 319338: how can you determine the nature of roots of this following equation: the square root of 3x suared minus 4 suare roots of 3 equals 0? \n" ); document.write( "
Algebra.Com's Answer #228659 by ankor@dixie-net.com(22740)\"\" \"About 
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the square root of 3x squared minus 4 square roots of 3 equals 0?
\n" ); document.write( "\"sqrt%283x%5E2%29+-+4sqrt%283%29\" = 0
\n" ); document.write( "add \"4sqrt%283%29\" to both sides
\n" ); document.write( ":
\n" ); document.write( "\"sqrt%283x%5E2%29+=+4sqrt%283%29\"
\n" ); document.write( "Square both sides
\n" ); document.write( "3x^2 = 16(3)
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( "x^2 = 16
\n" ); document.write( "x = \"sqrt%2816%29\"
\n" ); document.write( "x = 4
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation
\n" ); document.write( "\"sqrt%283%284%5E2%29%29+-+4sqrt%283%29\" = 0
\n" ); document.write( "extract the square root
\n" ); document.write( "\"4sqrt%283%29+-+4sqrt%283%29\" = 0
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