document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186229>Question 186229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive odd integers such that the square of the first added to 3 times the second is 24. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139610 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=139610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x & (x+2) be the 2 integers.<BR>\n" );
document.write( "x^2+3(x+2)=24<BR>\n" );
document.write( "x^2+3x+6=24<BR>\n" );
document.write( "x^2+3x+6-24=0<BR>\n" );
document.write( "x^2+3x-18=0<BR>\n" );
document.write( "(x+6)(x-3)=0<BR>\n" );
document.write( "x-3=0 <BR>\n" );
document.write( "x=3 ans. for the smaller integer.<BR>\n" );
document.write( "3+2=5 ans. for the larger integer.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "3^2+3*5=24<BR>\n" );
document.write( "9+15=24<BR>\n" );
document.write( "24=24<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );