document.write( "Question 1079912: A corner wall is built with one side 2ft longer than the other. If the two ends are 6ft apart, what is the length of the shorter side? \n" ); document.write( "
Algebra.Com's Answer #694148 by ikleyn(52873)\"\" \"About 
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document.write( "If this corner is the right angle, then\r\n" );
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document.write( "\"sqrt%28x%5E2+%2B%28x%2B2%29%5E2%29\" = 6 --->\r\n" );
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document.write( "\"x%5E2+%2B+x%5E2+%2B+4x+%2B+4\" = 36  --->  \r\n" );
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document.write( "\"2x%5E2+%2B+4x+-+32%7D%7D+=+0%2C%0D%0A%0D%0A%7B%7B%7Bx%5E2+%2B+2x+-+16\" = 0,\r\n" );
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document.write( "\"x%5B1%2C2%5D\" = \"%28-2+%2B-+sqrt%282%5E2%2B4%2A16%29%29%2F2\" = \"%28-2+%2B-+sqrt%2868%29%29%2F2\" .\r\n" );
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document.write( "The only positive root is {{x}}} = \"%28sqrt%2868%29-2%29%2F2\" = 3.123 ft (approximately).\r\n" );
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document.write( "Check.  \"sqrt%283.123%5E2+%2B+%283.123%2B2%29%5E2%29\" = 5.9999.   Good !\r\n" );
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document.write( "Answer.  the length of the shorter side is  \"%28sqrt%2868%29-2%29%2F2\" = 3.123 ft (approximately).\r\n" );
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