document.write( "Question 104640: if 3√x^6 + 3√8x^3 + 3 √1=0, then x =
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Algebra.Com's Answer #76182 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
\"3sqrt%28x%5E6%29%2B3sqrt%288x%5E3%29%2B3sqrt%281%29=0\"
\n" ); document.write( "\"sqrt%28x%5E6%29%2Bsqrt%288x%5E3%29%2Bsqrt%281%29=0\"
\n" ); document.write( "\"x%5E3%2B2x%2Asqrt%28x%29%2B1=0\"
\n" ); document.write( "\"x%5E3%2B1=-2x%2Asqrt%28x%29\"
\n" ); document.write( "\"%28x%5E3%2B1%29%5E2=%28-2x%2Asqrt%28x%29%29%5E2\"
\n" ); document.write( "\"x%5E6%2B2x%5E3%2B1=8x%5E3\"
\n" ); document.write( "\"x%5E6%2B2x%5E3%2B1-8x%5E3=8x%5E3-8x%5E3\"
\n" ); document.write( "\"x%5E6-6x%5E3%2B1=0\"\r
\n" ); document.write( "\n" ); document.write( "Let___\"y=x%5E3\"
\n" ); document.write( "____\"y%5E2=x%5E6\"
\n" ); document.write( "Then,
\n" ); document.write( "\"x%5E6-6x%5E3%2B1=y%5E2-6y%2B1\"
\n" ); document.write( "\"y%5E2-6y%2B1=0\"
\n" ); document.write( "\"y=%286%2B-sqrt%286%5E2-4%2A1%2A1%29%29%2F%282%2A1%29\"
\n" ); document.write( "\"y=%286%2B-sqrt%2836-4%29%29%2F%282%29\"
\n" ); document.write( "\"y=6%2B-sqrt%2832%29%29%2F%282%29\"
\n" ); document.write( "\"y=6%2B-+4sqrt%282%29%29%2F%282%29\"
\n" ); document.write( "\"y=3%2B2sqrt%282%29\" or y=\"y=3-2sqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "Then,
\n" ); document.write( "\"x=%283%2B2sqrt%282%29%29%5E3\" or \"x=%283-2sqrt%282%29%29%5E3\"
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