document.write( "Question 1153553: The product of a number and the sum of the number and two is equal to 5 1/4. Find the number \n" ); document.write( "
Algebra.Com's Answer #775801 by greenestamps(13215)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Let the number be n;
\n" ); document.write( "Then the sum of the number and 2 is n+2;
\n" ); document.write( "And the product of the number and the sum of the number and 2 is n(n+2).

\n" ); document.write( "That product is 5 1/4 = 21/4:

\n" ); document.write( "\"n%28n%2B2%29+=+21%2F4\"
\n" ); document.write( "\"n%5E2%2B2n+=+21%2F4\"
\n" ); document.write( "\"4n%5E2%2B8n+=+21\"
\n" ); document.write( "\"4n%5E2%2B8n-21+=+0\"
\n" ); document.write( "\"%282n-3%29%282n%2B7%29+=+0\"

\n" ); document.write( "n = 3/2 OR n = -7/2

\n" ); document.write( "There are two solutions....

\n" ); document.write( "The numbers are 3/2 and 3/2+2 = 7/2 -- product (3/2)(7/2) = 21/4

\n" ); document.write( "OR

\n" ); document.write( "The numbers are -7/2 and -7/2+2 = -3/2 -- prouct (-7/2)(-3/2) = 21/4

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