document.write( "Question 1018485: Please show how to solve the following polynomial equations:\r
\n" ); document.write( "\n" ); document.write( "\"+x%5E4+-+2x%5E2+%2B+1+=+0+\" by subbing y= x^2\r
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\n" ); document.write( "\n" ); document.write( "\"+sqrt%28x%29+-+%288%29+root%284%2Cx%29+%2B+7+\"\r
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Algebra.Com's Answer #634561 by ikleyn(52835)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Please show how to solve the following polynomial equations:\r
\n" ); document.write( "\n" ); document.write( "\"+x%5E4+-+2x%5E2+%2B+1+=+0+\" by subbing y= x^2\r
\n" ); document.write( "\n" ); document.write( "and \r
\n" ); document.write( "\n" ); document.write( "\"+sqrt%28x%29+-+%288%29+root%284%2Cx%29+%2B+7+\"\r
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document.write( "1.\r\n" );
document.write( "\"x%5E4+-+2x%5E2+%2B+1\" = \"0\".  --->\r\n" );
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document.write( "Factor left side:\r\n" );
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document.write( "\"%28x%5E2-1%29%5E2\" = \"0\",  --->\r\n" );
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document.write( "\"%28x-1%29%5E2%2A%28x%2B1%29%5E2\" = \"0\",  --->  \r\n" );
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document.write( "The roots are x = 1 of multiplicity 2  and  x = -1 of multiplicity 2.\r\n" );
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document.write( "So it is solved.\r\n" );
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document.write( "Another way is to introduce new variable y = \"x%5E2\". The you get your equation for y in the form\r\n" );
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document.write( "\"y%5E2+-+2y+%2B+1\" = \"0\".\r\n" );
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document.write( "Again, factor left side\r\n" );
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document.write( "\"%28y-1%29%5E2\" = \"0\",\r\n" );
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document.write( "and so on . . . You will get the same answer.\r\n" );
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document.write( "2. Regarding your second equation . . . \r\n" );
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document.write( "   There is a mistake in your writing, so fix (repair) it, and then resubmit.\r\n" );
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