document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158288>Question 1158288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do I figure out the largest possible product of two even integers whose sum is 22? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781203 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52800)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "The closest analogue is this statement\r\n" );
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document.write( "    Among rectangles with the given perimeter, the largest area has a square with the side length equal one fourth of the perimeter.\r\n" );
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document.write( "From this analogy, 22 = 11 + 11 will provide the greatest possible product \r\n" );
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document.write( "    11*11 = 121.    \r\n" );
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document.write( "Since they want even numbers, take 22 = 10 + 12, as the closest pair of even numbers to (11,11),\r\n" );
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document.write( "so your answer under given condition will be  (10,12).\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "See the lessons\r<BR>\n" );
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document.write( "It is a classic problem on finding maximum value of a quadratic form.\r<BR>\n" );
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document.write( "This problem was solved &nbsp;MANY &nbsp;TIMES &nbsp;in this forum.\r<BR>\n" );
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document.write( "Therefore, &nbsp;I created lessons at this site, &nbsp;explaining the solution in all details.\r<BR>\n" );
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document.write( "The lessons are under these links\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/HOW-TO-complete-the-square-of-a-quadratic-function-to-find-its-minimum-maximum.lesson>HOW TO complete the square to find the minimum/maximum of a quadratic function</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Briefly-on-How-to-complete-the-square-of-a-quadratic-function-to-find-its-minimum-maximum.lesson>Briefly on finding the minimum/maximum of a quadratic function</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/HOW-TO-complete-the-square-to-find-the-vertex-of-a-quadratic-function.lesson>HOW TO complete the square to find the vertex of a parabola</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Briefly-on-finding-the-vertex-of-a-parabola.lesson>Briefly on finding the vertex of a parabola</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/A-rectangle-with-the-given-perimeter-which-has-the-maximal-area-is-a-square.lesson>A rectangle with a given perimeter which has the maximal area is a square</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/A-farmer-planning-to-fence-a-rectangular-garden-to-enclose-the-maximal-area.lesson>A farmer planning to fence a rectangular garden to enclose the maximal area</A>\r<BR>\n" );
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document.write( "Read these lessons attentively.\r<BR>\n" );
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document.write( "Consider them as your &nbsp;TEMPLATE.\r<BR>\n" );
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document.write( "Having these templates in front of you, &nbsp;solve the &nbsp;GIVEN &nbsp;problem by the same way.\r<BR>\n" );
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document.write( "Having it written one time, &nbsp;I do not see any reasons to re-write it again and again with each new given data set or formulation.\r<BR>\n" );
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document.write( "By the way, &nbsp;in these lessons, &nbsp;you will find many useful links to accompanied lessons.\r<BR>\n" );
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document.write( "Do not miss them.\r<BR>\n" );
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document.write( "Consider my lessons as your textbook, handbook, tutorial and (free of charge) home teacher.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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