document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171957>Question 171957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consective integers such that the square of the sum of the two integers is 11 more than the smaller integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127041 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the integers be x & x+1<BR>\n" );
document.write( "(x+x+1)^2=x+11<BR>\n" );
document.write( "(2x+1)^2=x+11<BR>\n" );
document.write( "4x^2+4x+1=x+11<BR>\n" );
document.write( "4x^2+3x-10=0<BR>\n" );
document.write( "4*-10=-40 what are the 2 factors of -40 whose sum = 3? 8 and -5<BR>\n" );
document.write( "4x^2+8x-5x-10=0<BR>\n" );
document.write( "4x(x+2)-5(x+2)=0<BR>\n" );
document.write( "(4x-5)(x+2)=0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4x=5<BR>\n" );
document.write( "x=5/4 not an integer<BR>\n" );
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document.write( "x=-2<BR>\n" );
document.write( "x+1=-1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );