document.write( "Question 197763: I cannot get this answer right. my teacher has provided the answer and we have to do the figuring. I keep coming up with a different answer than provided; therefore, my figuring is wrong. The problem is:\r
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document.write( "1/x-1/x-1=6.
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document.write( "The answer provided is{-2,3} How is this answer figured, I keep getting a fraction for an answer. Please help \n" );
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Algebra.Com's Answer #148290 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! please check original problem \n" ); document.write( ". \n" ); document.write( "1/x - 1/(x-1) = 6 \n" ); document.write( ". \n" ); document.write( "mult thru by x(x-1) \n" ); document.write( ". \n" ); document.write( "(x-1) - x =6x(x-1) \n" ); document.write( ". \n" ); document.write( "x-1-x =6x^2 -6x \n" ); document.write( ". \n" ); document.write( "0 = 6x^2 -6x +1 \n" ); document.write( ". \n" ); document.write( "cannot factor ,,therefore use quadratic equation \n" ); document.write( ". \n" ); document.write( "let a =(6),,b=(-6),,,c=(1) \n" ); document.write( ". \n" ); document.write( "x= { -(-6) +/- sqrt { (-6)^2 -4 (6)(1) } } /2(6) \n" ); document.write( ". \n" ); document.write( "x = { 6 +/- sqrt (36-24) } 12 \n" ); document.write( ". \n" ); document.write( "x= 1/2 +/- ( 3.464) / 12 \n" ); document.write( ". \n" ); document.write( "x= 1/2 +/- .2887 \n" ); document.write( ". \n" ); document.write( "x= .7886,,, or .2113 \n" ); document.write( ". \n" ); document.write( "checking \n" ); document.write( ". \n" ); document.write( "for .2113,,,, 1/.2113 - 1/ (.2113 -1) = 4.73 +1.267 =6 ,,,ok \n" ); document.write( ". \n" ); document.write( "for .7886,,, 1/.7886 - 1/(.7886-1) = 1.268 + 4.730 = 6,,ok \n" ); document.write( " |