document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370490>Question 370490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive positive intergers such that the square of the larger integer added to seven times the smaller integer is equal to 253? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264076 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=264076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x & (x+1) be the 2 integers.<BR>\n" );
document.write( "(x+1)^2+7x=253<BR>\n" );
document.write( "x^2+2x+1+7x=253<BR>\n" );
document.write( "x^2+9x+1-253=0<BR>\n" );
document.write( "x^2+9x-252=0<BR>\n" );
document.write( "(x-12)(x+21)=0<BR>\n" );
document.write( "x-12=0<BR>\n" );
document.write( "x=12 ANS FOR THE SMALLER INTEGER.<BR>\n" );
document.write( "12+1=13 ANS. FOR THE LARGER INTEGER.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "13^2+7*12=253<BR>\n" );
document.write( "169+84=253<BR>\n" );
document.write( "253=253 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );