document.write( "Question 24849: how do you solve this equation 2/(1-x) + 4/(2-x) = 11/6 \n" ); document.write( "
Algebra.Com's Answer #13266 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
how do you solve this equation 2/(1-x) + 4/(2-x) = 11/6\r\n" );
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document.write( " 2     4     11\r\n" );
document.write( "——— + ——— = ————\r\n" );
document.write( "1-x   2-x     6\r\n" );
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document.write( " 2     4     11   \r\n" );
document.write( "——— + ——— = ————\r\n" );
document.write( "1-x   2-x     6\r\n" );
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document.write( "None of the denominators will factor.  They have no common factor, so\r\n" );
document.write( "the LCD is their product 6(1-x)(2-x)\r\n" );
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document.write( "Multiply every term by that over 1\r\n" );
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document.write( " 2  6(1-x)(2-x)    4  6(1-x)(2-x)   11  6(1-x)(2-x) \r\n" );
document.write( "———·——————————— + ———·——————————— = ———·———————————\r\n" );
document.write( "1-x      1        2-x      1         6      1       \r\n" );
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document.write( "Now we cancel everything that will cancel:\r\n" );
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document.write( "       1                      1         1\r\n" );
document.write( " 2  6(1-x)(2-x)    4  6(1-x)(2-x)   11  6(1-x)(2-x) \r\n" );
document.write( "———·——————————— + ———·——————————— = ———·———————————\r\n" );
document.write( " 1-x       1       2-x        1       6      1  \r\n" );
document.write( "  1                 1                 1\r\n" );
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document.write( "                12(2-x) + 24(1-x) = 11(1-x)(2-x)\r\n" );
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document.write( "              24 - 12x + 24 - 24x = 11(2-x-2x+x2)\r\n" );
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document.write( "                         48 - 36x = 11(2-3x+x2) \r\n" );
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document.write( "                         48 - 36x = 22 - 33x + 11x2\r\n" );
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document.write( "                                0 = 11x2 + 3x - 26 \r\n" );
document.write( "                                _____________\r\n" );
document.write( "                          -3 ± Ö32-4(11)(-26) \r\n" );
document.write( "                     x = ——————————————————————    \r\n" );
document.write( "                                   2(11)\r\n" );
document.write( "                   \r\n" );
document.write( "                                ____\r\n" );
document.write( "                          -3 ± Ö1153 \r\n" );
document.write( "                     x = ————————————    \r\n" );
document.write( "                              22\r\n" );
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document.write( "solutions (approx.): x = 1.407084259  and x = -1.679811531 \r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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