document.write( "Question 169539: Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers. \n" ); document.write( "
Algebra.Com's Answer #124956 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.\r
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document.write( "First odd integer  = \"x\"\r\n" );
document.write( "Second odd integer = \"x%2B2\"\r\n" );
document.write( "Third odd integer  = \"x%2B4\"\r\n" );
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document.write( "the square of the third = \"%28x%2B4%29%5E2\"\r\n" );
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document.write( "the square of the second = \"%28x%2B2%29%5E2\"\r\n" );
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document.write( ">>...the square of the third is 264 more than the square of the second...<<\r\n" );
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document.write( "Replace \"the square of the third\" by \"%28x%2B4%29%5E2\"\r\n" );
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document.write( ">>...\"%28x%2B4%29%5E2\" is 264 more than the square of the second...<<\r\n" );
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document.write( "Replace \"the square of the second\" by \"%28x%2B2%29%5E2\".\r\n" );
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document.write( ">>...\"%28x%2B4%29%5E2\" is 264 more than \"%28x%2B2%29%5E2\"...<<\r\n" );
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document.write( "Replace the word \"is\" by \"%22=%22\":\r\n" );
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document.write( ">>...\"%28x%2B4%29%5E2\" \"%22=%22\" 264 more than \"%28x%2B2%29%5E2\"...<<\r\n" );
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document.write( "Make \"%28x%2B2%29%5E2\" 264 more than it is by adding 264 to it on the right:\r\n" );
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document.write( "That is, replace \"264 more than \"%28x%2B2%29%5E2\"\" by \"%28x%2B2%29%5E2%2B264\"\r\n" );
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document.write( ">>...\"%28x%2B4%29%5E2\" \"%22=%22\" \"%28x%2B2%29%5E2%2B264\"...<<\r\n" );
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document.write( "So the equation is\r\n" );
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document.write( "\"%28x%2B4%29%5E2=%28x%2B2%29%5E2%2B264\"\r\n" );
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document.write( "Can you solve that equation?  If not post again asking how.\r\n" );
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document.write( "Solution to that equation: x=63\r\n" );
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document.write( "So:\r\n" );
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document.write( "First integer  = \"x=63\"\r\n" );
document.write( "Second integer = \"x%2B2=63%2B2=65\"\r\n" );
document.write( "Third integer  = \"x%2B4=63%2B4=67\"\r\n" );
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document.write( "Answer:  63, 65, 67\r\n" );
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document.write( "Edwin
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