document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=606961>Question 606961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chris says, I am thinking of two positive integers that have a difference of 8 and the sum of their squares is 610.\" Algebraically determine the integers that Chris is thinking of. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382329 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=382329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if one integer is x <BR>\n" );
document.write( "the other will be x-8\r<BR>\n" );
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document.write( "x^2+(x-8)^2=610\r<BR>\n" );
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document.write( "x^2+x^2-16x+64=610\r<BR>\n" );
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document.write( "2x^2-16x=546\r<BR>\n" );
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document.write( "x^2-8x=273\r<BR>\n" );
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document.write( "x^2-8x-273=0\r<BR>\n" );
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document.write( "x^2-21x+13x-273=0\r<BR>\n" );
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document.write( "x(x-21)+13(x-21)=0<BR>\n" );
document.write( "(x-21)(x+13)=0\r<BR>\n" );
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document.write( "x=21 OR -13\r<BR>\n" );
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document.write( "The integers are positive <BR>\n" );
document.write( "so the numbers are 21 & 13 </SPAN>\n" );
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