document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885592>Question 885592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there are three consecutive odd integers. if we take the difference of the third and the first integers, it becomes equal to the product of the first and second integers plus the square of the second integer. what is the third odd integer?\r<BR>\n" );
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document.write( "hint: x be the first integer<BR>\n" );
document.write( "      x+2 be the second odd integer<BR>\n" );
document.write( "      x+4 be the third odd integer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535268 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=535268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> List of the three consecutive odd integers:<BR>\n" );
document.write( "2x+1<BR>\n" );
document.write( "2x+3<BR>\n" );
document.write( "2x+5.\r<BR>\n" );
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document.write( "Difference between first and third:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B5%29-%282x%2B1%29=4 ALIGN=MIDDLE  ALT=\"%282x%2B5%29-%282x%2B1%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Product of first and second, plus square of the second: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%282x%2B3%29%2B%282x%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%282x%2B3%29%2B%282x%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "They are given as equal:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%282x%2B1%29%282x%2B3%29%2B%282x%2B3%29%5E2=4%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%282x%2B1%29%282x%2B3%29%2B%282x%2B3%29%5E2=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I see now your hint of \"let x be the first integer\"; but I followed a more typical method.  I used x as any positive whole integer, and then built the consecutive ODD integers based on this idea.  2x will be an EVEN number, but 2x plus an ODD number will be an ODD number.<BR>\n" );
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document.write( "Now, when you solve for x, this will not be your first integer of the list.  Your first integer of the list will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1 ALIGN=MIDDLE  ALT=\"2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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