document.write( "Question 1046915: 2/(x-4)(x-2)=1/x-4+2/x-2 \n" ); document.write( "

Algebra.Com's Answer #662530 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
For a rational expression like this, we multiply everything by the lowest common denominator...we get
\n" ); document.write( " $\"2%2F%28%28x-4%29%28x-2%29%29=1%2F%28x-4%29+%2B+2%2F%28x-2%29\"$
\n" ); document.write( "which leads to (after multiplying by (x-4)(x-2))
\n" ); document.write( " $\"+2+=+%28x-2%29+%2B+2%28x-4%29\"$
\n" ); document.write( " $\"+2+=+x+-+2+%2B+2x+-+8\"$
\n" ); document.write( " $\"+2+=+3x+-+10\"$
\n" ); document.write( " $\"12+=+3x\"$
\n" ); document.write( " $\"x+=+4\"$
\n" ); document.write( "Notice that x = 4 is not allowed...thus there is NO SOLUTION. \n" ); document.write( "

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