document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36822>Question 36822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of two consecutive integers is 265. find the integers.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22614 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=22614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of two consecutive integers is 265. find the integers.\r<BR>\n" );
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document.write( "Let the smaller number be \"x\"<BR>\n" );
document.write( "The larger is \"x+1\"<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( " x^2 + (x+1)^2=265<BR>\n" );
document.write( "2x^2+2x+1=265<BR>\n" );
document.write( "2x^2+2x-264=0<BR>\n" );
document.write( "x^2+x-132=0<BR>\n" );
document.write( "(x+12)(x-11)=0<BR>\n" );
document.write( "x=11 then x+1=12<BR>\n" );
document.write( "If x=-12 the x+1=-11\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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