document.write( "Question 1077857: If 25X square - Y square = (5 X+1/2) ( 5 X-1/2). Find the value of Y.
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Algebra.Com's Answer #692437 by ikleyn(52814)\"\" \"About 
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document.write( "If  \"25X%5E2+-+Y%5E2\" = \"%285X%2B1%2F2%29%2A%285X-1%2F2%29\", as the condition says, then\r\n" );
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document.write( "\"25X%5E2+-+Y%5E2\" = \"25X%5E2+-+%281%2F2%29%5E2\".\r\n" );
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document.write( "It implies  \"Y%5E2\" = \"%281%2F2%29%5E2\".\r\n" );
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document.write( "Hence,  Y = +/-\"1%2F2\".\r\n" );
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document.write( "Answer.  There are TWO solutions:  Y = \"1%2F2\" and Y = \"-1%2F2\".\r\n" );
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