document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750884>Question 750884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive numbers is 41. What is the smaller number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456862 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=456862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive numbers is 41. What is the smaller number?<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "1st: x<BR>\n" );
document.write( "2nd: x+1<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "x^2 + x^2+2x+1 = 41<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2x^2 + 2x - 40 = 0<BR>\n" );
document.write( "x^2 + x -20 = 0<BR>\n" );
document.write( "(x+5)(x-4) = 0<BR>\n" );
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document.write( "Positive solution:<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "x+1 = 5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );