document.write( "Question 384751: How do you solve for x in the following rational equation (x-8)/(x-9)=1/(x-9)? \n" ); document.write( "
Algebra.Com's Answer #272361 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "solving
\n" ); document.write( "\"%28x-8%29%2F%28x-9%29=1%2F%28x-9%29\"
\n" ); document.write( "Cross Multiplying to solve for x
\n" ); document.write( " x-9 = (x-8)(x-9)
\n" ); document.write( " x -9 = x^2 -17x + 72
\n" ); document.write( " x^2 - 18x + 81 = 0
\n" ); document.write( "factoring
\n" ); document.write( "(x -9)(x -9)=0 Note:SUM of the inner product(-9x) and the outer product(-9x) = -18x
\n" ); document.write( "(x -9)= 0
\n" ); document.write( "(x -9)=0
\n" ); document.write( " x = 9 \n" ); document.write( "
\n" );