document.write( "Question 1207404: Find the real solutions, if any, of the given equation. \r
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\n" ); document.write( "\n" ); document.write( "(3/4)x^2 - (1/4)x - (1/2) = 0\r
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\n" ); document.write( "\n" ); document.write( "Let me see.\r
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\n" ); document.write( "\n" ); document.write( "I can use the quadratic formula. In the formula, a = 3/4, b = -1/4 and c = -1/2.\r
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Algebra.Com's Answer #845259 by ikleyn(52778)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The short answer to your question is \"Yes\".\r\n" );
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document.write( "But there is another way, much more attractive.\r\n" );
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document.write( "Multiply all the terms of your equation by 4.\r\n" );
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document.write( "You will get then other, EQUIVALENT quadratic equation\r\n" );
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document.write( "    3x^2 - x - 2 = 0.\r\n" );
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document.write( "Apply now the quadratic formula, which you know\r\n" );
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document.write( "    \"x%5B1%2C2%5D\" = \"%281+%2B-+sqrt%28%28-1%29%5E2+-+4%2A3%2A%28-2%29%29%29%2F%282%2A3%29\" = \"%281+%2B-+sqrt%2825%29%29%2F6\".\r\n" );
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document.write( "Thus  \"x%5B1%5D\" = \"%281+%2B+sqrt%2825%29%29%2F6\" = \"%281+%2B+5%29%2F6\" = 1\r\n" );
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document.write( "and   \"x%5B2%5D\" = \"%281+-+sqrt%2825%29%29%2F6\" = \"%281+-+5%29%2F6\" = \"-4%2F6\" = \"-2%2F3\".\r\n" );
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document.write( "So, the solutions are the numbers  1  and   \"-2%2F3\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "On solving quadratic equations using the quadratic formula,  see the lessons \r
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