document.write( "Question 1041226: If \"x%5E2%2Bkx%2Bk%2B1=%28x%2Bp%29%28x%2B2%29\" for all values of x and k and p are constants, what is the value of k?
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Algebra.Com's Answer #656194 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"x%5E2%2Bkx%2Bk%2B1\"\"%22%22=%22%22\"\"%28x%2Bp%29%28x%2B2%29\"\r\n" );
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document.write( "Let x = 0\r\n" );
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document.write( "\"0%5E2%2Bk%2A0%2Bk%2B1\"\"%22%22=%22%22\"\"%280%2Bp%29%280%2B2%29\"\r\n" );
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document.write( "\"k%2B1\"\"%22%22=%22%22\"\"%28p%29%282%29\"\r\n" );
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document.write( "\"k%2B1\"\"%22%22=%22%22\"\"2p\"\r\n" );
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document.write( "Let x = 1\r\n" );
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document.write( "\"1%5E2%2Bk%2A1%2Bk%2B1\"\"%22%22=%22%22\"\"%281%2Bp%29%281%2B2%29\"\r\n" );
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document.write( "\"1%2Bk%2Bk%2B1\"\"%22%22=%22%22\"\"%281%2Bp%29%281%2B2%29\"\r\n" );
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document.write( "\"2%2B2k\"\"%22%22=%22%22\"\"1%2B2%2B2p%2Bp\"\r\n" );
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document.write( "\"2%2B2k\"\"%22%22=%22%22\"\"3p%2B3\"\r\n" );
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document.write( "\"2k\"\"%22%22=%22%22\"\"3p%2B1\"\r\n" );
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document.write( "So we solve the system of equations:\r\n" );
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document.write( "\"system%28k%2B1=2p%2C2k+=+3p%2B1%29\" \r\n" );
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document.write( "Solve by substitution and get k=5, p=3.\r\n" );
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document.write( "Edwin

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