document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129097>Question 129097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive odd numbers such that the sum of their squares is a four-digit number with all four digits the same?<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 #94431 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=94431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, x+2, x+4 be the numbers.<BR>\n" );
document.write( "x^2+(x+2)^2+(x+4)^2<BR>\n" );
document.write( "x^2+x^2+4x+4+x^2+8x+16<BR>\n" );
document.write( "3x^2+12x+20=5555 I tried all combinations from 1111 t0 5555 on TI-89 calculator until I got an integer answer for x.<BR>\n" );
document.write( "3x^2+12x-5535=0<BR>\n" );
document.write( "3(x^2+4x-1845)=0<BR>\n" );
document.write( "x^2+4x   =1845<BR>\n" );
document.write( "x^2+4x+4=1845+4 Complete the square.<BR>\n" );
document.write( "(x+2)^2=1849<BR>\n" );
document.write( "x+2=+-43<BR>\n" );
document.write( "x=-2+-43<BR>\n" );
document.write( "x=-45, x=41 (-45 is extraneous.)<BR>\n" );
document.write( "x=41 <BR>\n" );
document.write( "The numbers are 41,43,45<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "41^2+43^2+45^2<BR>\n" );
document.write( "=1681+1849+2025<BR>\n" );
document.write( "=5555<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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