document.write( "Question 927055: Let a and b be distinct real numbers for which\r
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Algebra.Com's Answer #802142 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The analysis in the post by  @CubeyThePenguin  is incomplete;\r
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\n" ); document.write( "\n" ); document.write( "            the answer is incomplete,  too.\r
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document.write( "You start from\r\n" );
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document.write( "    \"a%2Fb\" + \"%28a+%2B+10b%29%2F%28b+%2B+10a%29\" = 2.\r\n" );
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document.write( "You introduce new variable  x = \"a%2Fb\"  (which is under the problem's question).\r\n" );
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document.write( "Then you divide the numerator and the denominator in the given equation by \"b\".\r\n" );
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document.write( "You will get then this equation for x\r\n" );
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document.write( "    x + \"%28x%2B10%29%2F%281+%2B+10x%29\" = 2.\r\n" );
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document.write( "By multiplying both sides by (1+10x), you get\r\n" );
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document.write( "    x*(1+10x) + (x+10) = 2*(1+10x)\r\n" );
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document.write( "    x + 10x^2 + x + 10 = 2 + 20x\r\n" );
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document.write( "    10x^2 - 18x + 8 = 0\r\n" );
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document.write( "Using the quadratic formula, you get 2 (two, TWO)  roots for x\r\n" );
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document.write( "    \"x%5B1%5D\" = 1  and  \"x%5B2%5D\" = \"4%2F5\".\r\n" );
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document.write( "ANSWER.  There are 2 (two, TWO) solutions  \"a%2Fb\" = 1  and  \"a%2Fb\" = \"4%2F5\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Hello,  @CubeyThePenguin,  consider to hire somebody,  who will assist you by editing / fixing your solutions after you.\r
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