document.write( "Question 1041511: What positive number exceeds 3 times its reciprocal by 2 \n" ); document.write( "
Algebra.Com's Answer #656454 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
x > 0,
\n" ); document.write( ":
\n" ); document.write( "x = 3 * (1/x) + 2
\n" ); document.write( ":
\n" ); document.write( "x = (3/x) + 2
\n" ); document.write( "multiply both sides of = by x
\n" ); document.write( ":
\n" ); document.write( "x^2 = 3 + 2x
\n" ); document.write( ":
\n" ); document.write( "x^2 -2x -3 = 0
\n" ); document.write( ":
\n" ); document.write( "(x-3) * (x+1) = 0
\n" ); document.write( ":
\n" ); document.write( "x = 3 or x = -1
\n" ); document.write( ":
\n" ); document.write( "***************************
\n" ); document.write( "we reject x = -1, therefore
\n" ); document.write( "x = 3
\n" ); document.write( "***************************
\n" ); document.write( ":
\n" ); document.write( "check our answer
\n" ); document.write( ":
\n" ); document.write( "3 = 3/3 + 2
\n" ); document.write( "3 = 3
\n" ); document.write( "our answer checks
\n" ); document.write( ": \n" ); document.write( "
\n" );