document.write( "Question 264754: Solve the equations using the sq rt property\r
\n" ); document.write( "\n" ); document.write( "\"%283x-3%29%5E2=81%29\"\r
\n" ); document.write( "\n" ); document.write( "3x-9= +/ sq rt 81\r
\n" ); document.write( "\n" ); document.write( "3x = 9 +/ sq rt 81\r
\n" ); document.write( "\n" ); document.write( "x = 9+/ sq rt 81/3\r
\n" ); document.write( "\n" ); document.write( "Should I reduce this all the way? It seems like a strange answer because 9,81,and 3 are all connected. \r
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Algebra.Com's Answer #194850 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"%283x-3%29%5E2+=+81%29\"
\n" ); document.write( "You need to take the square root of both sides,
\n" ); document.write( "which you tried to do, but went astray.
\n" ); document.write( "If something is squared, then taking the
\n" ); document.write( "square root exactly cancels out the squaring.
\n" ); document.write( "In general:
\n" ); document.write( "\"sqrt%28n%5E2%29+=+n\", so
\n" ); document.write( "\"sqrt%28%283x-3%29%5E2%29+=+sqrt%2881%29\"
\n" ); document.write( "\"3x+-+3+=+%2B9\"
\n" ); document.write( "and
\n" ); document.write( "\"3x+-+3+=+-9\"
\n" ); document.write( "From the 1st, I get
\n" ); document.write( "\"3x+=+12\"
\n" ); document.write( "\"x+=+4\"
\n" ); document.write( "From the 2nd, I get
\n" ); document.write( "\"3x+=+-6\"
\n" ); document.write( "\"x+=+-2\"
\n" ); document.write( "You can check these answers by plugging the number into
\n" ); document.write( "the original equation:
\n" ); document.write( "\"%283x-3%29%5E2+=+81%29\"
\n" ); document.write( "\"%283%2A4+-+3%29%5E2+=+81\"
\n" ); document.write( "\"9%5E2+=+81\"
\n" ); document.write( "\"81+=+81\"
\n" ); document.write( "and
\n" ); document.write( "\"%283x-3%29%5E2+=+81%29\"
\n" ); document.write( "\"%283%2A%28-2%29+-+3%29%5E2+=+81%29\"
\n" ); document.write( "\"%28-9%29%5E2+=+81\"
\n" ); document.write( "\"81+=+81\"
\n" ); document.write( "OK\r
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