document.write( "Question 132855: Find a quadratic equation of the form ax^2+bx+c=0 whose solutons are x=4+ or - square root of 11 \n" ); document.write( "
Algebra.Com's Answer #97314 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Find a quadratic equation of the form ax^2+bx+c=0 whose solutons are
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document.write( "Formula:\r\n" );
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document.write( "A quadratic equation of the form \"ax%5E2%2Bbx%2Bc=0\" which has solutions M and N\r\n" );
document.write( "is \"x%5E2-%28M%2BN%29x%2BMN=0\"\r\n" );
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document.write( "Therefore:\r\n" );
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document.write( "\"M+=+4%2Bsqrt%2811%29\", \"N+=+4-sqrt%2811%29\"\r\n" );
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document.write( "\"M%2BN=4%2Bsqrt%2811%29%2B4-sqrt%2811%29\" = \"8\"\r\n" );
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document.write( "\"MN=%284%2Bsqrt%2811%29%29%284-sqrt%2811%29%29\" = \"16-4sqrt%2811%29%2B4sqrt%2811%29-sqrt%2811%29sqrt%2811%29\" = \"16-cross%284sqrt%2811%29%29%2Bcross%284sqrt%2811%29%29-11\" = \"16-11\" = \"5\".\r\n" );
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document.write( "So substituting in \r\n" );
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document.write( "\"x%5E2-%28M%2BN%29x%2BMN=0\" \r\n" );
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document.write( "gives the equation\r\n" );
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document.write( " \"x%5E2-8x%2B5=0\"\r\n" );
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document.write( "Edwin
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