document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261309>Question 261309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. What are the two integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192565 by </B><A HREF=/tutors/aboutme.mpl?userid=Greenfinch><B>Greenfinch(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Greenfinch><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Greenfinch><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=192565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the small integer is X, the larger is 2X + 5<BR>\n" );
document.write( "So X(2X + 5) = 52<BR>\n" );
document.write( "Or 2x^2 + 5X - 52 = 0<BR>\n" );
document.write( "(2X + 13)(X  - 4)=0<BR>\n" );
document.write( "So X = -6.5 or 4<BR>\n" );
document.write( "6.5 is negative and not an integer, so can be disregarded<BR>\n" );
document.write( "So X = 4, larger number is 13<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );