document.write( "Question 1134882: The difference between a number and its reciprocal is 3/2. Find the number.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #752398 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
The difference between a number and its reciprocal is 3/2. Find the number.
\n" ); document.write( "
Let the number be N
\n" ); document.write( "Then we get: \"matrix%281%2C3%2C+N+-+1%2FN%2C+%22=%22%2C+3%2F2%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+2N%5E2+-+2%2C+%22=%22%2C+3N%29\" -------- Multiplying by LCD, 2N
\n" ); document.write( "\"matrix%281%2C3%2C+2N%5E2+-+3N+-+2%2C+%22=%22%2C+0%29\" ----- Subtracting 3N
\n" ); document.write( "(N - 2)(2N + 1) = 0
\n" ); document.write( "N - 2 = 0 OR 2N + 1 = 0
\n" ); document.write( "Number, or \r
\n" ); document.write( "\n" ); document.write( "**CHECK: \n" ); document.write( "
\n" );