document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67005>Question 67005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two integers whose difference is 23 and whose product is 195 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47640 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find two integers whose difference is 23 and whose product is 195<BR>\n" );
document.write( "Let the integers by x and y<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "x-y=23<BR>\n" );
document.write( "xy=195<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Solve one for x: x=y+23<BR>\n" );
document.write( "Substitute into the other to get:<BR>\n" );
document.write( "(y+23)y=195<BR>\n" );
document.write( "y^2+23y-195=0<BR>\n" );
document.write( "Use the quadratic formula to get:<BR>\n" );
document.write( "y=[-23+-sqrt(23^2-4*-195)]/2<BR>\n" );
document.write( "y=[-23+-sqrt1309}/2<BR>\n" );
document.write( "y=[-23+-36.18...]/2<BR>\n" );
document.write( "This does not yield an integer.<BR>\n" );
document.write( "You may have posted your numbers incorrectly.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );