document.write( "Question 175060: If 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189.What is the number? \n" ); document.write( "

Algebra.Com's Answer #130149 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
If 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189. What is the number?
\n" ); document.write( "

\r\n" );
document.write( "If 6 is added to a number N, we get the sum N+6.\r\n" );
document.write( "\r\n" );
document.write( "If 6 is subtracted from the same number N, we get the difference N-6.\r\n" );
document.write( "\r\n" );
document.write( "The product (multiplication) of this sum and this difference is (N+6)(N-6)  \r\n" );
document.write( "\r\n" );
document.write( "But we are told that\r\n" );
document.write( "

\n" ); document.write( ">>...the product of the sum and the difference is 189...<<
\n" ); document.write( "

\r\n" );
document.write( "So we have the equation\r\n" );
document.write( "\r\n" );
document.write( "                    (N+6)(N-6)=189\r\n" );
document.write( "\r\n" );
document.write( "Can you simplify and solve that quadratic? If not post again\r\n" );
document.write( "asking how.\r\n" );
document.write( "\r\n" );
document.write( "You get N = 15 and N = -15\r\n" );
document.write( "\r\n" );
document.write( "Nothing was said about the number not being negative, so both answers\r\n" );
document.write( "are solutions.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );