document.write( "Question 1090933: Solve: (1-x)/(2+x) = (x-2)/(x+1) \n" ); document.write( "
Algebra.Com's Answer #705373 by ikleyn(53765)\"\" \"About 
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document.write( "\"%281-x%29%2F%282%2Bx%29\" = \"%28x-2%29%2F%28x%2B1%29\".\r\n" );
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document.write( "Cross-multiply:\r\n" );
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document.write( "(1-x)*(x+1) = (x-2)*(2+x),\r\n" );
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document.write( "(1-x)*(1+x) = (x-2)*(x+2),\r\n" );
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document.write( "\"1-x%5E2\" = \"x%5E2-4\",\r\n" );
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document.write( "\"2x%5E2\" = 5  ====>  \"x%5E2\" = \"5%2F2\"  ====>  x = +/- \"sqrt%285%2F2%29\" = +/- \"sqrt%2810%29%2F2\".\r\n" );
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document.write( "Answer.  x = +/- \"sqrt%2810%29%2F2%29\".\r\n" );
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