document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867346>Question 867346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone solve this word problem for me? \r<BR>\n" );
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document.write( "find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 9  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522945 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=522945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the odd integers be x, x+2,x+4\r<BR>\n" );
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document.write( "sum of squares of first two<BR>\n" );
document.write( "x^2+(x+2)^2\r<BR>\n" );
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document.write( "which is equal to\r<BR>\n" );
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document.write( "(x+4)^2+9\r<BR>\n" );
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document.write( "x^2+(x+2)^2=(x+4)^2+9\r<BR>\n" );
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document.write( "x^2+x^2+4x+4=x^2+8x+16+9\r<BR>\n" );
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document.write( "2x^2+4x+4=x^2+8x+25\r<BR>\n" );
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document.write( "x^2-4x-21=0\r<BR>\n" );
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document.write( "x^2-7x+4x-21=0\r<BR>\n" );
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document.write( "x(x-7)+4(x-7)=0\r<BR>\n" );
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document.write( "(x-7)(x+4)=0\r<BR>\n" );
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document.write( "x=7 Or -4\r<BR>\n" );
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document.write( "but the number is positive<BR>\n" );
document.write( "so the numbers are 7,9,11\r<BR>\n" );
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