document.write( "Question 1172155: 1. What positive number exceeds 3 times its reciprocal by 2? Show clear solution thanksss! \n" ); document.write( "
Algebra.Com's Answer #797071 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Direct and literal translation of words to Math is THIS :\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    find positive solution to equation  x = \"3%2Fx\" + 2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, multiply both sides by x and then simplify step by step\r\n" );
document.write( "\r\n" );
document.write( "    x^2 = 3 + 2x\r\n" );
document.write( "\r\n" );
document.write( "    x^2 - 2x - 3 = 0\r\n" );
document.write( "\r\n" );
document.write( "    (x-3)*(x+1) = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The two roots are  x= 3  and  x= -1; but only positive x= 3 satisfies the problem's condition.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The number is 3.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );