document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161445>Question 161445</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279212/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find two consectutive intergers such that the square of the sum of the two intergers is 11 more than the smaller interger.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I tried to set this up like : x(x+1)=(x+x+1)+11\r<BR>\n" );
document.write( "\n" );
document.write( "and the answer is -2,-1.\r<BR>\n" );
document.write( "\n" );
document.write( "but of course we have to show our work ..... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118915 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \" the square of the sum of the two intergers is 11 more than the smaller interger\"<BR>\n" );
document.write( "__ (x+x+1)^2=x+11 __ (2x+1)^2=x+11 __ 4x^2+3x-10=0 __ factoring __ (4x-5)(x+2)=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4x-5=0 __ x=5/4 __ not an integer\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x+2=0 __ x=-2  __  x+1=-1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );