document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467521>Question 467521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive odd integers if the sum of their squares is 290 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320792 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=320792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find two consecutive odd integers if the sum of their squares is 290\r<BR>\n" );
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document.write( "Let x = the smaller odd integer<BR>\n" );
document.write( "  x+2 = the larger odd integer\r<BR>\n" );
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document.write( "x^2 + (x+2)^2 = 290<BR>\n" );
document.write( "x^2 + x^2 + 4x + 4 = 290<BR>\n" );
document.write( "2x^2 + 4x - 286 = 0\r<BR>\n" );
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document.write( "x^2 + 2x - 143 = 0\r<BR>\n" );
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document.write( "Solve by factoring<BR>\n" );
document.write( "(x+13)(x-11) = 0\r<BR>\n" );
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document.write( "x-11 = 0<BR>\n" );
document.write( "x = 11<BR>\n" );
document.write( "x+2 = 11+2 = 13\r<BR>\n" );
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document.write( "The two consecutive odd integers are 11 and 13. </SPAN>\n" );
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