document.write( "Question 1209731: Let r, s, and t be solutions of the equation \"x%5E3+%2B+2x%5E2+-+5x+%2B+15+=+0\".
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Algebra.Com's Answer #851891 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Couldn't find an online solver to help me much on this one.\r\n" );
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document.write( "\"r%2B+s+%2B+t+=+-2\"\r\n" );
document.write( "\"s%2Bt=-2-r\"\r\n" );
document.write( "\"r-2s-2t=+r-2%28s%2Bt%29=r-2%28-2-r%29=r%2B4%2B2r+=+3r%2B4\"\r\n" );
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document.write( "Write s for r, r for s, and t for t gives \r\n" );
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document.write( "\"s-2r-2t+=+3t%2B4\"\r\n" );
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document.write( "Write t for r, r for s, and s for t gives \r\n" );
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document.write( "\"t-2r-2s+=+3s%2B4\"\r\n" );
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document.write( "So we want:\r\n" );
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document.write( "\"1%2F%283r%2B4%29%2B1%2F%283s%2B4%29%2B1%2F%283t%2B4%29\"\r\n" );
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document.write( "Multiply the numerator out:\r\n" );
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document.write( "\"%283s%2B4%29%283t%2B4%29=9st%2B12s%2B12t%2B16=9st%2B12%28s%2Bt%29%2B16\"\r\n" );
document.write( "Write r for s and t for t:\r\n" );
document.write( "\"%283r%2B4%29%283t%2B4%29=9rt%2B12r%2B12t%2B16=9rt%2B12%28r%2Bt%29%2B16\"\r\n" );
document.write( "Write r for s and s for t\r\n" );
document.write( "\"%283r%2B4%29%283s%2B4%29=9rs%2B12r%2B12s%2B16=9rs%2B12%28r%2Bs%29%2B16\"\r\n" );
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document.write( "Add those three equations term by term:\r\n" );
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document.write( "\"9%28st%2Brt%2Brs%29%2B12%282s%2B2t%2B2r%29%2B48\"\r\n" );
document.write( "\"9%28st%2Brt%2Brs%29%2B24%28s%2Bt%2Br%29%2B48\"\r\n" );
document.write( "\"9%28rs%2Brt%2Bst%29%2B24%28r%2Bs%2Bt%29%2B48\"\r\n" );
document.write( "\"9%28-5%29%2B24%28-2%29%2B48=-45-48%2B48+=+-45\"\r\n" );
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document.write( "That's the numerator.\r\n" );
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document.write( "Multiply the denominator out:\r\n" );
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document.write( "\"27rst%2B36%28rs%2Brt%2Bst%29%2B48%28r%2Bs%2Bt%29%2B64\"\r\n" );
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document.write( "\"27%28-15%29%2B36%28-5%29%2B48%28-2%29%2B64=-405-180-96%2B64=-617\"\r\n" );
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document.write( "That's the denominator.\r\n" );
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document.write( "So the final answer is \"%28-45%29%2F%28-617%29=45%2F617\"\r\n" );
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document.write( "Edwin
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