document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215047>Question 215047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive odd integers is 10 more than the square of the smaller integer. Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162497 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive odd integers is 10 more than the square of the smaller integer. Find the integers.\r<BR>\n" );
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document.write( "Step 1.  Let n be one odd number and n+2 be the next consecutive odd number\r<BR>\n" );
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document.write( "Step 2.  Let n*(n+2)  be the product of the two odd integers\r<BR>\n" );
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document.write( "Step 3.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the square of the smaller integer.\r<BR>\n" );
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document.write( "Step 4.  n*(n+2)=n^2+10  since the product of two consecutive odd integers is 10 more than the square of the smaller integer.  Solve yields the following steps:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2A%28n%2B2%29=n%5E2%2B10 ALIGN=MIDDLE  ALT=\"n%2A%28n%2B2%29=n%5E2%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B2n=n%5E2%2B10 ALIGN=MIDDLE  ALT=\"n%5E2%2B2n=n%5E2%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=10 ALIGN=MIDDLE  ALT=\"2n=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >  divide by two to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=10%2F2 ALIGN=MIDDLE  ALT=\"2n=10%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=5 ALIGN=MIDDLE  ALT=\"n=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2=7 ALIGN=MIDDLE  ALT=\"n%2B2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A7=5%5E2%2B10 ALIGN=MIDDLE  ALT=\"5%2A7=5%5E2%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a true statement\r<BR>\n" );
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document.write( "Step 5.  The numbers are 5 and 7.\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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