document.write( "Question 972977: The number of real roots of the equation
\n" ); document.write( "{(2x-3)/(x-1)}+1=(6x^2-x-6)/(x-1): \n" ); document.write( "

Algebra.Com's Answer #595246 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( " $\"%282x-3%29%2F%28x-1%29%2B1=%286x%5E2-x-6%29%2F%28x-1%29\"$
\n" ); document.write( ".
\n" ); document.write( " $\"%282x-3%29%2F%28x-1%29%2B%28x-1%29%2F%28x-1%29=%286x%5E2-x-6%29%2F%28x-1%29\"$ Multiply by (x-1).
\n" ); document.write( ".
\n" ); document.write( " $\"2x-3%2Bx-1=6x%5E2-x-6\"$
\n" ); document.write( " $\"3x-4=6x%5E2-x-6\"$
\n" ); document.write( " $\"3x=6x%5E2-x-2\"$
\n" ); document.write( " $\"0=6x%5E2-4x-2\"$
\n" ); document.write( " $\"0=%28x-1%29%286x%2B2%29\"$
\n" ); document.write( " $\"x-1=0\"$ $\"or\"$ $\"6x%2B2=0\"$
\n" ); document.write( " $\"x=1\"$ $\"or\"$ $\"6x=-2\"$
\n" ); document.write( " $\"x=1\"$ $\"or\"$ $\"x=-1%2F3\"$
\n" ); document.write( "Since x cannot equal 1 (division by 0)
\n" ); document.write( "ANSWER: x=-1/3 \n" ); document.write( "

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