document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=806581>Question 806581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive even integers such that five times the sum of the smallest and largest integers is the same as the square of the middle number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806054 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consecutive even integers: (x-2), x, (x+2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5((x-2) + (x+2)) = x^2<BR>\n" );
document.write( "5(2x) = x^2<BR>\n" );
document.write( "10x = x^2<BR>\n" );
document.write( "0 = x^2 - 10x<BR>\n" );
document.write( "0 = x(x - 10)<BR>\n" );
document.write( "x = 0, x = 10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The integers could be {-2, 0, 2} or {8, 10, 12}. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );