document.write( "Question 726937: Q- For what value of p and q, the expession, $\"+x%5E4-14x%5E3%2B71x%5E2%2Bpx%2Bq+\"$ is a perfect square??\r
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Algebra.Com's Answer #444904 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Let  = \r\n" );
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document.write( "Multiply the right side out and you have the identity:\r\n" );
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document.write( " = \r\n" );
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document.write( "The x⁴'s terms cancel.\r\n" );
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document.write( "Equating terms in x³:\r\n" );
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document.write( "2a = -14\r\n" );
document.write( " a = -7\r\n" );
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document.write( "Equating terms in x²:\r\n" );
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document.write( "a²+2b = 71\r\n" );
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document.write( "Substituting a = -7\r\n" );
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document.write( "(-7)²+2b = 71\r\n" );
document.write( "   49+2b = 71\r\n" );
document.write( "      2b = 22\r\n" );
document.write( "       b = 11\r\n" );
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document.write( "Equating terms in x:\r\n" );
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document.write( "2ab = p\r\n" );
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document.write( "Substituting a = -7 and  b = 11\r\n" );
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document.write( "2(-7)(11) = p\r\n" );
document.write( "     -154 = p \r\n" );
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document.write( "Equating constant terms:\r\n" );
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document.write( "b² = q\r\n" );
document.write( "11² = q\r\n" );
document.write( "121 = q\r\n" );
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document.write( "Answer: p = -154, q = 121\r\n" );
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document.write( "Edwin

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