document.write( "Question 1044242: Find two numbers which are reciprocals of each other and whose sum is 3 \n" ); document.write( "

Algebra.Com's Answer #659523 by ikleyn(52847) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Find two numbers which are reciprocals of each other and whose sum is 3
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be one of the two numbers.\r\n" );
document.write( "Then the other number is  (reciprocal !) and their sum is 3:\r\n" );
document.write( "\r\n" );
document.write( " = 3.\r\n" );
document.write( "\r\n" );
document.write( "We need to solve this equation to find x.\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by x to rid the denominator. You will get\r\n" );
document.write( "\r\n" );
document.write( " = ,  or\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "\r\n" );
document.write( "Apply the quadratic formula:\r\n" );
document.write( "\r\n" );
document.write( " =  = ,  or\r\n" );
document.write( "\r\n" );
document.write( " = ,   = .\r\n" );
document.write( "\r\n" );
document.write( "Check that the product  = 1 and that  = 3.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The two numbers are    and  .\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );