document.write( "Question 158062: Find the value for k that will make 4x^2+6.4x +k a perfect square. \n" ); document.write( "
Algebra.Com's Answer #116502 by Edwin McCravy(20065)\"\" \"About 
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Edwin's solution:\r
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document.write( "\"4x%5E2%2B6.4x+%2Bk\"\r\n" );
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document.write( "If it is to factor as a perfect square its \r\n" );
document.write( "factorizaton must be:\r\n" );
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document.write( "\"%282x%2Bsqrt%28k%29%29%5E2\"\r\n" );
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document.write( "So \r\n" );
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document.write( "\"4x%5E2%2B6.4x+%2Bk+=+%282x%2Bsqrt%28k%29%29%5E2\"\r\n" );
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document.write( "\"4x%5E2%2B6.4x+%2Bk+=+%282x%2Bsqrt%28k%29%29%282x%2Bsqrt%28k%29%29\"\r\n" );
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document.write( "\"4x%5E2%2B6.4x+%2Bk+=+%282x%29%5E2%2B4x%2Asqrt%28k%29%2B%28sqrt%28k%29%29%5E2%29\"\r\n" );
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document.write( "\"4x%5E2%2B6.4x+%2Bk+=+4x%5E2%2B4x%2Asqrt%28k%29%2Bk\"\r\n" );
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document.write( "Since the first and last terms on each sides are equal, the\r\n" );
document.write( "middle terms must also be equal. So we set them equal:\r\n" );
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document.write( "\"6.4x+=+4x%2Asqrt%28k%29\"\r\n" );
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document.write( "Divide both sides by x:\r\n" );
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document.write( "\"6.4+=+4sqrt%28k%29\"\r\n" );
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document.write( "Divide both sides by 4:\r\n" );
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document.write( "\"6.4%2F4+=+sqrt%28k%29\"\r\n" );
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document.write( "\"1.6+=+sqrt%28k%29\"\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "\"1.6%5E2+=+%28sqrt%28k%29%29%5E2\"\r\n" );
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document.write( "\"2.56+=+k\"\r\n" );
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document.write( "Edwin
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