document.write( "Question 389713: Find Solutions of (1/x-1)=(x+2/4) \n" ); document.write( "
Algebra.Com's Answer #276241 by ankor@dixie-net.com(22740)\"\" \"About 
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Find Solutions of (1/x-1)=(x+2/4)
\n" ); document.write( "Assume the problem is:
\n" ); document.write( "\"1%2F%28x-1%29\" = \"%28x%2B2%29%2F4\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "(x-1)(x+2) = 1 * 4
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 2x - 1x - 2 = 4
\n" ); document.write( "x^2 + x - 2 - 4 = 0
\n" ); document.write( "x^2 + x - 6 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x+3)(x-2) = 0
\n" ); document.write( "x = -3
\n" ); document.write( "and
\n" ); document.write( "x = 2
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in original problem
\n" ); document.write( "x=-3
\n" ); document.write( "\"1%2F%28-3-1%29\" = \"%28-3%2B2%29%2F4\"
\n" ); document.write( "\"1%2F%28-4%29\" = \"%28-1%29%2F4\"
\n" ); document.write( ":
\n" ); document.write( "You can check the x=2 solution \n" ); document.write( "
\n" );